Mathematics
Grade9
Easy
Question
In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is
![](data:image/png;base64,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)
- 5 cm
- 4.5 cm
- 5.25 cm
- 5.5 cm
Hint:
Prove the triangles are similar and if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
The correct answer is: 5.25 cm
In ΔABC and ΔADE,
(common)
ADE =
ABC (Corresponding angles are equal)
Therefore, By AA similarity
ΔABC ~ ΔADE
![fraction numerator A D over denominator A B end fraction equals fraction numerator A E over denominator A C end fraction thin space left parenthesis c o r r e s p o n d i n g space s i d e s space a r e space i n space e q u a l space p r o p o r t i o n right parenthesis
l e t space A E space b e space x space t h e n space A C space equals space 3 space plus space x space
G i v e n comma space A D space equals space 3 space a n d space A B space equals space 3 plus space 4 space equals space 7
3 over 7 equals fraction numerator x over denominator x plus 3 end fraction
3 left parenthesis x space plus space 3 right parenthesis space equals space 7 x
9 space equals space 4 x
x space equals space 2.25
T h e r e f o r e comma space A C space equals space space x space plus space 3 space equals space 2.25 space plus space 3 space equals space 5.25 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Therefore, the length of AC is 5.25 .
Related Questions to study
Mathematics
The ratio of perimeter similar to triangles is equal to
The ratio of perimeter similar to triangles is equal to
MathematicsGrade9
Mathematics
Find the length of CD of the following figure if AB ll DE.
![](data:image/png;base64,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)
Find the length of CD of the following figure if AB ll DE.
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
If the triangles in the figure are similar, then what is the measure of
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)
If the triangles in the figure are similar, then what is the measure of
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)
MathematicsGrade9
Mathematics
In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?
![](data:image/png;base64,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)
In the given figure ∆ADE ~ ∆ABC, if AD = 6 cm, DB = 9 cm, and AE = 8 cm, then what will be the value of AC?
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
If AD is the bisector of
. find the
.
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)
If AD is the bisector of
. find the
.
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
If ∆UDE ~ ∆UTS, then find the measure of
.
![](data:image/png;base64,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)
If ∆UDE ~ ∆UTS, then find the measure of
.
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
Given two triangles are similar. Which is the similarity criteria it satisfies?
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148CBCQ0PVOiB9oqkpQkHsNdxY2wOjvvoL/tB3HeafiEJCbg1qGa1m+yH67HLMnLwI01c64MqdewiLCIHXcSvsWmSG7U5+8M3R/r5FbAUDI2L7Hmi0AtnYjOMmV9FwNJd+CHv27Hkpqn0DDUnIeXgaO5ZbYd12XzwsrYdGG43lhTnAYdJnGNijN3rM2orllmthOXsUJowYg5FL7GB7MxPP6xrRoGlAbdEzpEcHITjgLoJjM5BZXod6Ix2V+SChp8KdO3ewdu1aFeWyiGZhYaEWWzKfW17+Sm9Fs2HxK/W2HRyW9MOQLp/j0/4LMWO3L24+LldtcGgsREHcVThvWoo15muw/oA97E7uh63NHmzeexUeUVko0v65SBZBMDQitu+E9quojaDyM7OQnV/x3qOdFB6azlBs6Sf7uzy/iSfXLGGx8TTWOWUjX6lkAZJ9rLC139cYPcECy688wI2IUIT47YPDuh8wuPtYjDR3guvTarwovdWjoSwfhfnayK9c+5BQ7xkXtorR1czFxUW1i9G4nC1jc+bMUX3GemkVqytHaVY8EsL94OftCc+bIbjzMB3pxb88XBqq8pAXH47owJu45R+AgDtBCIp4iPtJBcgrN3A+WRB0iNi+lTqgKh3PHt5FgI8Prvv4wtfDC9dvBCEkORcZ73AiZnHo0aNHKqqjo9a7rCyvCD2LO1azsOqwBw5Ea38LSjTSEee+GWt79cBks6M4lsYGMJKG/KAtWNHtS/TsbY7Vt4oQ1wpL60ydHD16FBMnTlSrgKZNm6a2CjN/zf5j41CPxsoSlFXUqSKkIBgTEdu3oKl8huKIEzhltRFLLI/g2LmLOH94I3aaL8AyWw+cja1G2e8MTzGqZcvXwoULVXGMXrFvhqpahATXozi5cD6sXILgW0aJILlIvm6NXYO7YdKCfbCO5TukCuWJjjg85huMGTALiz3yEKmfE7peYSqFqQNuhDh16hSmTp2qxn85TUc7RxbReL1t++gKwpsRsX0j9ShK9ITflglYPM8C8+0i4RubgPjIU3DfPRtTpm2G+YFwxJVqj6u6X/E6uOOLPgg//fSTEpW37xurBGrC4W1ng5U/7sBp3zhkat99cRquRkHYabjO7Y5Jc7X/be9aPFMRbAMqn13FiclDMWucBbaHFCG+lTeNsnPh5s2bajsEx3/ZtUCHMf45cRJNENojIrZvJB9Pbtpg14BOGDdjO7beBzLU+4nIC7eBxbBpmDDtMC6llqNAvf96uG+MOUoen3lkfqsfQk0Gah/tx3Gr9Ziy3BPuEfmv5FrrM0KQcGY+Vi0yx+RNXnANTsSjxAjcu34E2+avguVWZ/hmNeVsWz9cuX79+nU1CEGDG06jLV++XI3/cvtvq/XQFYRmIGL7RlIQ72GJ5Z0+w8AxW7E5AirKBPJQ9tgB1iOGY9LwtdgTWYgk9f7riY2NVStn6InA3O1bXbKKk1DibYnju3fA7FQKglJ/daSuL0TVU09csVkJi1lLsdrmOA7aHYTdvu3YfNAdZ4OyUVDLvoW2AwU3IyMDN27cUEW03r17o2vXrkqAfX19VRGtxZ3FBEEPiNi+ked4cn0zNnT7C7r2Ncdc9yo8Vd/5WtRmOuPYDwMxeaA5NgTm4cEbtIAiQc9atj7xuEzXr7dSmY+qRzcRFRYCv6QaZL0usGssRHZ0AAJdz8H18lVc8fTEDb9A3H70HCmtfIPN2+CfVVRUFI4dO6by2+xcYD6XosttEdyZJghtGRHbN1KLgtiLuLzkO4waMBqDVl3F2YAEPH5yH9F+Nljdtx9GDl2JHWEFSHiD2DIqc3JyUjlJRm366i1VaGpRU1KI0rIK1ZCv63JqF9Cc/PDhw2opJqNcPqiOHDmCkJAQNf7LYpsgtDVEbN9CfXkysm/vxYHF4zFq6FRMM9uIbVZrsNl8JHr9rT/6TLKF/ZNy5Lzhu88K+86dO1WbE7ce0DFLeDdYWKQNJSNdrlyn6FJ86StBQ3NBaGuI2L6VeqAiGUkBzrhw5BCO2Dvj7D4zbBn/OT7tOBnfr76B4MI392yyIMYj8YoVK5QlITfZCu8H0wfu7u7qz5Cjv3zNmzdPRbr0YpB8rtBWELF9Z7Rf6to8pLptgO3UHug3wxoWbhl4Xv3mI+3x48dVNEYzFh6NRRiaB9MG3BbBdrFly5apHDgn0ei/QB8Guo5J54LQ2hGxfWe0UW6OJ9y3zMTkITOx4LA/buTVo+4t6cONGzeiU6dOqolf3wYspggFlakZZ2dnrFq1Shn7cFvEkiVL1CJNvebEBUHPiNi+jUYWobKRmxyB+7cvwv3IaqxZsgZmW93hHpunM/N+PSyO0SScU1LcSCvoFw4/7N27V23/ZX8uJ9K2b9+u+nZb48p1QRCxfQuNtSUoSrmHB9dP4IztJlha7oaN4x2EpFej7C0ZARqwsI2JuUXaDNJEW9AvTMmwR5fbIti5wA0YPEVQdGlkzvc5QCKpG6G1IGL7RjSoqyxCfkockh6EICIiFIGh8XiUUf6721gLCwvh6uqqTLRZ2KHzlWA4mLNlRMvxX27C6Nevnxr/5Xg0vRgEoTUgYvtGGlFfU4nyoiKUVb7d/+DXcESXjlZcgsgiGXtDBcPDItqVK1fUiYLjv+xcYBGNxu0c/+WJQxBaChHbt8AqOI+h79tCz3wiIyz2h7LlSwo3xoOphczMTNWlsHLlSnTv3l11L1B0AwMDVS5dWvCElkDE1gAEBQWhV69eSnDp1Sq2gcaH3R/sw6WHLrf/MsrlBmCmdegpXFb26+1tgmBYRGz1DM3C6V/LrQzsRvjdFTiCwWHOnOuI2LXw3XffKbtLTqZx/JeTaoJgDERs9Uxubq76IjNnuGvXLqmGtwJ4smA7GI3buXiSxTOuXOfqdW4DTk1NldOHYHBEbPUIc7z379/Hpk2blB8CfVmF1gXtHNkpwqGI8ePHq5Yx+g2zkMl2MUEwFCK2eoTR0eXLl1U1fM2aNWq7rNA6YXse0z1sz2MRjSmGzZs3Kw9ddpOIaZCgb0Rs9Qir3JxqYiGGx1XjLTIUmgOHHjj+y+2/LJzRb4Hm5exc4INSRqwFfSJiq0cYDXFOn5ESDa+lONY2YF6d+VzaYXL8l1N/06dP/3n8Vy8r1wWTR8RWTzBfy8o2c7XdunWTEd02Bv/+OPTASJenk4EDBypfC7bvMfeekJCgRJf3CUJzELHVE4xqaXY9ZcoUtdKFu8eEtgm7EzgUwUiXf58c/2XEy55djgYLQnMQsdUTbC06e/asioS4AodFFqFtw5PKhQsXVLcCI10ORrDwefHixd9f3ikIv0LEVk/wy8eWL34x6V+bl5enuyK0ZZh3T09PV54L8+fPV+t5vv/+e9W5wKEIbpKQ8V/hXRCx1RPM0fLIyTU4/GdpHWpflJaWKnFtGv/lEk9u4Vi3bh0CAgKkc0H4XURs9cS1a9eU4QlXb8sG2PYLUwfMzW/YsAFDhw7FoEGDVF81RZgPWVm5LrwJEVs9wdTBF198oVbhyOhn+4ZdC03jv/RcYJRL43K2izGfyyk1SS0Iv0bE9gNhBEs/hN27dyunL24NEEwHLvJkaxiHItixwNQCfYy5ul6KpMLLiNh+IHT5Yi6PVeoZM2aoEVDB9OADl5NoXMvDPmtOEbJ1jEMRFGQxLhdEbD8QVqvZ8jV37lyVx4uIiNBdEUwNboqgnSNTCebm5uqkw+2/LKLRW1cE17QRsf1AWKVmGxB7MGnXl52drbsimCrsROFWiG3btv2cWuCph5HurVu31Ep2wfQQsf1AeHzk+hv2XtIxSgojQhM89TCi3bJli/p89OzZU/XqNg1FMBIWTAcR2w8kKSlJeaLyyyQjusKv4cOXOVsfHx+1BJQmN9wWwUiXiyjZ1SCYBiK2HwAjl9u3byuxZWFE5uaFt0HPBaaa6KE7cuRItTGCdo6MdCnIQvtGxPYD4Binvb29EloeFSVKEX4PTprxc+Ps7KwmDtmfy5wu+3VZXM3Pz5dUVDtFxPYDiIyMVJVmjm+y15Jm1ILwLnDSjFuYjxw5oka8BwwYoCbS6K9B0ZUJxPaHiO0H4OXlpZYGsqFdWnuE5sAolqLLdAIn0bieh21jXBrK8V95gLcfRGw/gNOnT6sGdqYQePyTaERoDnxI8/Nz9+5dVURjlNulSxc1icYhmczMTDE2ageI2DYTRiQc0aUfAveNiR+CoA+4EYIpqZUrVyoTeka6NLpxdHSUHu42johtM6DzE6ON9evXqwWBNJgWBH1CMxsHBwdMnjxZfcbYuWBlZaV6udnVIMblbQ8R22bAli9OCNFOkQMNfn5+uiuCoD+484zjv05OTmoDCI3LhwwZAhsbG8TExEhqoY0hYtsM+CVgvyS3MnAkU4YZBEPCzxsNbbZu3aoWijK1wIh3165dyuZRUlhtAxHbZsDdVKtWrcLEiRPVFBBHdgXB0PBExc4FCwsLlVro378/li9frtzGOP5Lnw6h9SJi2wzoU8ocGpvRQ0NDlc2iIBgDCi5HxDn+y1MV0wrsiGHnAreFMAoWWicits3g/v37ar01nb6ePXume1cQjEtiYqIaiqDQcvyXDmPs1+V0GqfUhNaFiO17wsjC09NTTfssW7ZM/VwQWpIm43Ka29BDl6LLTgbWEjip9uaTVyM0taUoL8jG88xMZGTlI7+kCpV1GrzoGNder69ERVEOcjMykZVXguLqRjRIO3mzELF9T5hC4OobzrXv379f5tiFVkFZWZka86VXh5mZ2c9GN2wXe/DgwesFV1OF2vTbuOu4EZvNFmL+ykM44PEI0Tl1ePGprkLd82AEn9sJq+XrscXuJnxSalAu9bhmIWL7ntD8mZXgDh06qKowjcNpIsIPtbzk1RIvDtdwsIZBALeFcDvEP/7jP+If/uEf8Ic//EEtomQ+l4XdV9BUozbrOm7uHYuxf/8zPu22EHMdHyMkp14ntqXAM0dc2jEDYwabYb71TdxOq0WliG2zELF9T9hUzlztn//8Z/zpT3/CX//6V3z88cf46KOP5CWvFnnx8/f3v/8dn376qfrxf/7nf/DHP/4R//qv/4p///d/x2effaZEmGmFV0fKNdA0PEOC5zqs6fYx+gxdBYvrlUis4BUtDQWoe2iHK0e3wHznTbiE5qOmoSnFILwvIrbvCQsPFFzuHeORjYYhR48eVT/KS14t8eLnr+kzaGdnpzw72JLI15kzZ9So7507d97QoliL7NBjODzqEwwdtRjzr5QhXtdBVlf2BDHn98HxwFHYh+bicfmL94XmIWIrCCZOUbQzXOd8geHDp2HssWeIpC1zfS5KE7zguNsOB0/6I7q4DqK1H4bpiK2mEY31dairrUFNTS1q6xpQ36B9r7EBDfXan9e8eL+uXvtzdU7iEaseDXUv3q+pkyqs0D6penwdAZY9MXr4BPTfcR930uugyb2L5Gu22H/qBk4Fl6CoTpdaEJqNiYit9mNSlYXse1fhaWeD3buP4/DVSISm5iEvJw4Jt07DydYa1rZncdY/GUnaT5ZGU4nihADcOX8Ax0464+ydDKSUiPmH0P5oTL+D+P0jMWHEeHRd6YkbySlIe+COK/sP4uyNR4gq1H6DRGk/GNMR28pUpHlsxO5J36DjV6MxYKUrLj/ORnbmfYQdn4Ol/T5Fp37zMONwNO7laMUWpUgPOIHDs0dixpz12OSZgoeFIrZCOyQ/ErnnZ2H2mCn4eopWYL0v4sbNyzhwMgAhj/NQo7tN+DBMJ43QUI7qmMO4vHwgvuw4BUMtvRBSWYva2jI8u2wJm+F/QdeRKzHr7HM8q+BjvBApoS44tGQtrPa7wv95lfYoJY93oR1SEY9Kv9VYNXkyvuxqjvXr1+GU5zWciixCijTV6g0TKpBphTLfDXf3TUf/Tj9h3Hof3FfvVyHdbQ229fszvh62DvMulSGvWntvaSQe3ToDG1tPXAzIRJm6VxDaIQ3paIjbg93T++Pz/+yL7yesx54bMYiqgBTF9IgJiW2jVldvIvzkAoz9YjzGWlzGjdp6VFXF4cGxKZjzzV/xXz2X40endGSUlqIq9gJun96H/Z6PcStV968QhHZJPhpzHGE39zt0/a8e+M7sPBxitSdB3VVBP5hWZNsYjgfOKzCz43CMW+SECxmleBrtg1Cr0Vgwtgv+T/+VmHIkHI+fJyDG4wwc9znAKyEP6bLHUWjXlEBTcR3nNizAjAHm2OwcraJaQb+YkNiSeCR4bcHSb77H5PnW2BuZhCsuHgjaMQtH1g5Dx9GrMWatE8JCL8LN+TL2n4lEYmEVxEBRaN9UQdPwGOHXveB62g/RaUUQrdU/Jia2GUi5vQ+b+/XE1IkzsNTVF9scwxF8yhZhh6Zg5NhF+O6HdThzdBtOewXA6X41CuQsJbR7WASrQllpKQoLK1BbJ103hsDExLYEmREnsX9kJ4z79lv8sOEkVl5NRVTkLTx1no/Zo8bg46+mY4HFDjjdeYjYcqBePneCIOgBExPbeuTHXsTpKf+LAR99gm6zTsImpBTZZYnI8lkGsz5f4j//MhrD1l7GtaQ8KRAIgqA3TExstbFtvAeuzO+IQd36oqelP64m16MRT5B/Zz2W9eqILzrOxPwLSYgolZBWEAT9YXJiW5YQgFurR8B84XKYeeQhWjkcJaEwzhaWE2dg0qSDuBhXigKZXxAEQY+YnNhWZTxG/PnDcHf3hncukKtENR1lOb64cPIKTjs+QHqZ9HoJgqBfTE5sG6oqUZqRhtz8AhRphfaFI3056mpykJFRgIzsGkgxVhAEfWNyYvt6JGcgCIJhEbEVBEEwAiK2giAIRkDEVhAEwQiI2AqCIBgBEVtBEAQjIGIrCIJgBERsBUEQjICIrSAIghEQsRUEQTACIraCIAhGQMRWEATBCIjYCoIgGAERW0EQBCMgYisIgmAERGwFQRCMgIitIAiCERCxFQRBMAIitoIgCEZAxFYQBMEIiNgKgiAYARFbQRAEIyBiKwiCYAREbAVBaAVogPpyVOY9RerDMEQEByEwNBYPUgqRV9WovVqH2uJMZCZG4l7wHdwJi0HsswIU1GjQqPs3tHZEbAVBaAVoJbMyFc+DT8BxzURMGDQMg2dsw9bLD3Evtw4NmnIUPbwG9x3T8eOwQeraFtcHiC1qRL3u39DaEbEVBKEVoI1sa7JRftcKJ37sgr//qSu+nLIHhyMzkVLagEZNHUrirsJlfkf0+fRjfDxuP7Z7piGjUoMG3b+htSNiKwhC66ChHPXhu3BmYX983mMZZtvdxzPdJVL9zAeX5nTGqF6DMXR3FLxfvtgGELEVBKFVoKnOR7bLQmyb2BUdxtli47VM1OquATnIiz4G6yFdMKTvXJhfy8X9St2lNoJxxFaTi7yEUAR5e+G6zw3cCriNWzd9cN3dDW7nnOF2yRe3HqYjpQYv/eEKgmBKNJTHIWznMMz+9s/42/D1WHDAF3cCg3AnKBAhgWfgYjsbYzp8h35jduJgXAXSNbpf2EYwsNjWob70KdJCnOF6xBo7tu3B3oPHcPKMA04eP4BDViux4sdpmPzDMqxzDEKQ9knVxh5WgiDohUrUPPfE+fm9MPyjj9B53CrM2emAEyfs4XDCDg7W87BqYg988vFoDFjsDJ/8WpTrfmVbwbBiW/4Ajz2tsXnWT/jJ3Aa23lEISXyM5JQnSE6KQ2KcK87vW4tZY1djq0Mg4uopz4IgmB5pKI2xxdZh36Fnh1GYeeAyzoTGICIyCpHhd+F/dBE2jumAj7rNx9jd4UisbGwzLV9NGEhstfF943Nk3NyBQzP7oXf/RZixNxhhxfhVm0Ye0mL9cfaoG3wD41GifaeNnQwEQdAHFRHIuqrViV6D0GngdhwKT0N6fSNq6hpQW5uDhLOLsX34J/hq7A6YueSioA3mGw0jto0lqMu8gvOLv8fwL3pg0JqrcNCGrdW6yy9TX1OO52lZKCqk1AqCYJKkeiF6zzAM7jseXRdpg6+0ypcCrySEHpgOs+4dMWDxOeyL1KCirfR7vYRhxLYkHrkeS7G45xf4uOMsmF1OROzvPokkphUEU6Uswh5uC7/Cd8PmY6RtHOKKm/SgBqi+gcurRmP0ZwMxdbc/3AuBujYoFwYR27pUP9zb0huDOnTGX0YdxvHoPJTprlFUG2uLUJQRh0dh/gi4FYjAe0lIzK5Eeb1IriCYFJpq1BXFI+TIdMz/4p/xP9/+hDHHniCmgBdrUZN7Dymei7Go68f4738fhNE2fvApe/0pubVjELEte+iGq/M+wzdf9MTnC6/CO/nlumEDGsrikHBjN3bPGoIR/Sdg0vrzcAjJRmalGtr7mfr6emRnZyM6OhpRUVF49OiResXFxSE2NhYxMTHykpe82siL39mHDx8iNfUZqqu1EStpLEZF8iW4rumPoR//Nz7uZY7ZDom4l0slKEPxAxd4bx6G4Z/8Ff/96SRM3OuL6znVba4TgRhEbIujnHFuxkf46ut+6LzaH0GpLz+HtJFt3SM8u70Jq3p1wJf/bxjG2d6CW2opSup+iWwbGhqQnJwMGxsbDBo0CAMHDsSMGTMwd+5czJo1C1OnTsXEiRMxYcIEeclLXq38NWnSJPUaOnQoVqxYgcePk1580TVVqM2PRdzti3B1OI0zlwJx+1EhsiuoBDWoynqIBH8X7TUHnLzgC5+oZ3imjWzbYj++QcS2IvEafFd0Qs+v++DzedfgnfLrP5pEFN/ZgCW9+6Fbb0vYROS9MpZHGNUyit28eTM6dOiAf/7nf8Y//dM/qR8/+eQTDBkyBFOmTMHkyZMxbtw4jBkzRl7yklcrfY0aNQq9evXCv/zLv6BLly4ICQnRfdNNB4OIbWNeOFIcp2Nmv/7oOGIvDt/NQF6jBhqN7pV9E/EnpmB0rzHoOuM0rqSW/yYHw/sqKyvx9OlTuLi44KeffsJf//pX/Md//If6i7O3t8f9+/eRkJCgfUo+RlJSkvoxMTFRvScvecmr9bwiIiJw7NgxFdkywmVa0NQwiNhqzwWofnIZLht/xLTBP2Dyiv3Y6xqIoKgYxD0MQeDptbCa3BPdhizFlAP38LD47aMMtbW1iIyMxPHjx2FhYYEff/wRixYtwoEDB3Dv3j3dXYIgtFYYODk7O8PMzAw7d+5ESkqK7orpYBixVRQhL9wRl3fMh9nCVVi81R4Orlfg4XkWDjZrsGaBGRZbueJsZBGK3zEBwzwuE+27du1ST8jevXtj3rx5cHJyUu8XFRXp7hQEoTXBlCBztbNnz8alS5dQWFiou2I6GFBstVTnoTjtIR5FheMuDSUCA3EnJAx3w6MQGZOIxIwCFFRp0Pge/V7M5T579gy3b9/Gnj17VD6oe/fuKnfr6OiouhcEQWhd3LlzByNHjsScOXNUdxG/x6aGYcX2ZWqKUJSTjezcEtV1oA/S09Nx5swZLFy4UInuDz/8gKVLl6r3mMMVBKF1cO3aNVUYYxqhuLhY965pYTyxNRBMLTx//hxubm6qNYx/oUwxWFtbq6dpVlYWamp0PX2CIBiduro6ODg4qO/mxo0bde+aHm1ebJtgvjYsLEz9pS5ZskT15Q4YMABr1qxRbSYUZUEQjAu7ilgMs7KywvDhw1WR21RpN2LbBEWV4sonKFvEhg0bhvnz52P//v3w9/eXIpogGBHmZm/cuIHly5erDiJvb2/dFdOj3Ykt4V8w80JsF+ME2uDBg9URhi1jrq6uSE1NRUVFhe5uQRAMBVN4dnZ2mDZtmuoi4riuqdIuxfZlOPLLVpMNGzZg/PjxSng5IMF0Q0ZGhu4uQRAMQVVVlUrlMa3HFs2SEtO1Um33YtsEW8LYGsYiWv/+/TF27Fhs3bpVVUkpyI2Nbc33XRBaPwUFBeo717NnT9y6dUv3rmliMmJLSktLVUsYJ1loZtO1a1f1xOVEC1MO5eXlIrqCoEc4zMDAhidKDh6ZMiYltk3wKOPn54fdu3eriRYW0WhmQ9Ob4OBgk2y4FgR9w+DGy8tLuX5x0pM+J6aMSYptE+z/Y7sYc0r9+vVT6QW2jZ09e1ZNuUjngiA0H7Z80b+ENRJOe7If3pQxabElrJZy/JdtYewFZJT7zTffYPr06bh8+TLy8vJ0dwqC8D6Eh4dj8eLFasLT3d1dRbqmjMmL7cuwUEbrxqbxX3YvcPyXhTW2iwmC8O4whUDj/2XLlinrU54kTRkR29fAEd9z584pcxtGuSNGjMDevXtVPjczM9PkPzSC8HtwcoxBypdffon169er4rOpI2L7BvLz89Ux6OTJkyq5z5wuK6pbtmxRxscy/isIb4ZDQwxQOnXqBFtbW927po2I7e9A02N2LvDpzNQCc7rcg8bxX44F87ogCL/AQIQtlhwk4vflwoULuiumjYjtO8APD9vF7t69i3Xr1qFv376qSZvJfyb+mc+VY5IgvIBTY8zX8vthbm6uvKcFEdv3grlarlFnlwKf2jS6YXqBvbr0XOC0jCCYOvQlOXjwoPIiYSqBxTFBxLbZsEH70KFDqojGiitXqzeN/0rngmDKsF2SES0Ly1euXDFZs/BfI2LbTFhtLSsrU+1i7Fyg2H799ddqxTqf6hxNZGpBCmmCqcG+9dGjR+P7779XG7D5XRFEbPUCOxfo2Uk7R07L0CSZ8+Dbt29XnguCYCrQW4Rry3nao+BSeIUXiNjqEU6jsRhAo2Tmcrkpgv/M8V+2i5n6BI3Q/mHKgJamFFoOBOXm5uquCCK2eoaVWC6ipJ0ct0XQVaxbt25qW4SHh4eKgsVZTGivJCQkKIMnFsdY0zBl/9pfI2JrQGJjY3HixAm1DoRrnJue9uxcyMnJ0d0lCO0Heozw805DJx8fHxV8CC8QsTUC7Fw4cuSIyuP26NEDU6ZMUW5ITdt/pYAgtBc4wMBJS7ZGcrBBCsS/IGJrJGgvd+/ePTX+S+f67t27q+kaii77EEVwhfYAR3M7duyo+mtZwxB+QcTWyNAjl1Nnq1evVq5iHAGeM2eOEl12LkgkILRVWABmRPvVV1/hzJkzuneFJkRsW4CmHl12LtB+jlFu7969sXbtWrXqWcZ/hbYGpytZo7CwsFDDDBzXFV5FxLYFYfGAq51ZMLO0tFRFNIouOxc8PT2VIAtCW4CfVU6LLViwQBXH6JgnvIqIbSuBi/GY75o4caJqCGded9u2bapdjB66gtCaYXeNtbX1zy1fpr5v7HWI2LYSmFqgByiLZWwX45K8zp07q5zu8ePHlQEOexalR1dojVBcWXvg55apMOmv/S0itq0QtoNx/JeRwrRp01Sky2IaI19GwILQ2mA6jF4I7CXnYIMUen+LiG0rhtVduojRF5Sjv8zprlixQhnf0Oimurpad6cgtBxc/c9iL3vIGRyI1ejrEbFt5XATBCNdX19f5bNA03K+2DrGaZ3CwkL1YReEloKWik5OTsrxjoVe6aR5PSK2bYTa2lpV4T127BjMzMxULpctNmwdY+eCmNwILQVPWTt27FDr/zm0Iyeu1yNi2wZpMvuglWOvXr3UpgiOA3NtT3Z2tu4uQTAOfNizXZEnL5625KT1ekRs2yAsPjSN/x49elRti2DnAtf02NnZqcqwjP8KxoKnLY6eW1lZISUlRT57b0DEto1D0eVOtJUrV2LcuHH44YcfVAvO4cOH8eDBA91dgmAYKKzcPM0tJQ4ODrJt+i2I2LYTaNrM/kbmc+mfyzYcfgloc8doQ74Egr6h0NLrg5aKFFt6fghvRsS2HcGRSQ4/uLi4qBl1Gpf36dNH/TPNzEVwBX3CQhh3jM2dO1e1JdIyVHgzIrbtEEYc3APFIhq9c5lP40JKjv+yhUz6IAV9wM/RxYsXVYGW/d8cbBDejIhtO4WCy3YxRrp79uzB0KFD8c0336iFlLS/i4+PV6kHKWYIzYWFWD7A+ZniSLl4eLwdEVsTgF+KpvFfRrp0FuP4LzsXZPup0FxYgGVvLc1nmKait4fwZkRsTQhO+nBtCbsV6LdA05BVq1ap7b+MgGWeXXgfAgMD8d1332HmzJnKg1lOSW9HxNbEoIcux3/ZiG5ubo4uXbqowYhNmzYhODhYVZeZfhCEt0FhdXNzQ6dOnZR3h0yN/T4itiYKj3yhoaFqKGLhwoVqIIKFNPbrMuUgXx7hbeTm5qrPTt++fbFr1y6Jat8BEVsB0dHRaradRTS2is2bN099kUJCQlTqQRBehsLK6cWNGzeqnO358+dFbN8BEVtBzbIzUqHRDbei0uSGnQsspjGfm5aWJvPuws8wt3/p0iXVX8u9eUw/Cb+PiK3wCuxc4E60pu2/NLthH6W9vT2ePHmiu0swZfjgbTJC4gocafl6N0RshdeSn58PZ2dn1dZDU2hGu+ypvH79uhr/lSKa6cJJRC515FZoFsnks/BuiNgKb4SdCRx+oOiyc4Giy5wuOxeYcpAvmWnCbhZuZODnQVII746IrfC71NTUICAgANu3b1d5XEa5TeO/fn5+0sxuQrBLhV0stPUcO3as6s9+Kw3VqK3ToE73U1NGxFZ4Z+rq6hAVFaU6F/r164dvv/0WCxYsUPPxjIC5okdo39DSkytwOMiwbt06leP/DZpGNFTkoeBJOO77X4O7myeu+ccgJrMUpa8chjTQaMW4ujQfuenpSEvNQm5JJdh02B57G0RshfeClWjmbJm73blzJyZOnKiGIhjpnD59Wn0ZhfYLtzszjcROBP59v7Y1sK4I+aFOcLeehYVTRqB/167oNXA6Ju/ygVtcGX7R23o0FCci2d8ex9ZbYtnyYzgV8Bjp2ivtcWG/iK3QbDIyMuDo6Ki6Fbjsj90La9asUTnexMRE3V1Ce4I2ipMmTVInGvZhcyLxFTTFqC26j3DXIzi2aQO2rFuBJTP7Yti3X+HvPSyw0C4Sj7RqqwRXU4uG56F45LYSS0YMQMdOZrA4E44E7SURW0H4FcznUnTZLkbRZX/u4MGDVdTL3B5t+Jh+ENoHNAhnF8LSpUtfv+9Ok4HK3DsI8L+HG0EFyC8oQlm+J67v/gljOgzDD0vPwLUYKOK9jdrPRcFD5IRbY9eCCejW1QKrTkfgMS/xejtDxFbQC+xcYKTDyTMu/6PRDcd/N2/erN4Xk5u2T2Njo1p907FjR5VKeP2gSxnqqrKRlVuOvDLdW8jGU28brOs5BDPMD+JUngY5fFujldTa56hNP40zG2djQK9VsDwdjiTtpfb4aRGxFfQKo9igoCC1kodiyxFgHjm5FJCiSw9doe3BcVxOGdrY2CiLTj5U3500PPY/ik0jZ2HlxrO4XqJBie4KUA4UuuDyzgUY3nsV1onYCsK7w/5bpg+YRmC7WP/+/ZW7GD0XuJySE0dMPwhtBz5E+bBkTn7GjBm4evWq7srvoY1eq+7g3lUrLJ5tjZ0nQvBUGxD/kibQhr8Fzri0Yz6GidgKQvNhSxiNSuiby84F5nNnzZqlCmtsjhfaBpwao08GuxBoQMO1S+9GNUrv2cP74BqsOHgTZ+8V4tXHbCmQfxGu20VsBUEvMJrlOh4KLiePWNG2srJSdo5sJZOcbuuGy0SZfx89erTyyXinB2VjFRrzYxHpZAv7PUdwOiwTsb9qXhCxFQQDwCIa+zTPnTun8rhdu3ZVK9c5JMEVK9K10HphWoiDDPSv5QPynVzgSpNQcO8cnJ1ccNLjMZKKGl8zSdaURliA4X1WY/2ZCCRr35VuBEHQA4ySuLNq69atavyXxuUc/6UJNYtr4rnQ+khOTlbryvlwjI2N1b37FhpyUZJyF6E3r+P6vQw8bdqiX1WM8vSnyCmvYEyrpVr7gbgMd2szjOhric3no9Fet+KJ2AotBufs7969q8Y+aXDDKjcNbzgU0bT9V2h5WMz09/dXKQSahb91SaimBnXFKUgPsIPj7vWw2HQChy/eQnh4KCLC7sDb2R1XLt3GvcwiFGjjV011Bopj9+HAvCH46u9TMH2HBwIKtELcoGl3I7sitkKLwi8yc7be3t7YsmWLahdjTpdLKWlQTatHoWXh0ArztDyFMG+bk6O6ZF9PYzaKHzji1OJBGPS/f8HfOnyLzt8NwOD+3dG/T3d0GmqOqVZBuJtejVpohTn9NsJPzsLsbn/BH/+1M76aYIW9t5ORWNnQ7vK2IrbCm2Fo8brwolH7JXmlfUc/cMT3+PHjSmiZWqCrFHeiubi4qG0RQssQGRmpTh8cVmFnSUnJL12yv0FTgPInvvA6tg1bFi/CiuVLsdTCAksWzYP5ovmYv8Ue+7zTkFrMD1Yt6nNj8Oi6Pex3WGLt6h3YesQd7lEZSKsWsRXaO7UlqM6KQ3LSUzzKrEF5U/pUo/3w08kp5R6iA7zh5emHG2FJSMqvQqUeN+aw8MJjKjsX6LXQuXNnJboHDhxQ7UZsrJcVPcbFx8dHdZEsX75c7R57e4+09vjfWI/6ulrUau+rra1R99dUV6tXdW0d6pgiaHqIaxrR2MD7te/zVd+Aeu11KZAJ7Z6qVH+EHzbDpq2HsNUzHylNQUx1LnKC7OG6cxbmThqBAd16ot9oM8w9GoxbT6v1nl/jUZXG1JxU4jAEc7qcRmMR7Z0KNILeYE807TQ5osuOElnu2DxEbIVfKE1GkvNSbBj0Z3zx/SKMO5GNhwW8UIyavHAEn92Hg+vXwHLFIsyf0BV9vu6CTwdswrpLCXimPfMZIt6kqxRbjVasWKHyuSzSmJmZ/Tz+y2Z7wXCwM4RLQD///HPY2trq3hWag4itoEUbqTSUoDTyAtyW98HYTv+JPw9cgWlnchGv/MDTUJYdiBu+9+AXnI/8/GwUPbuAC2snYshnYzB12zX4VKkpd4PALzwjKtr7cXqJ/rmMtCi6Xl5eqsH+N1Z/wgfDCDY9PR0bNmxQJwv2RwvNR8RW0JKPxrwg+Doex5Yp47Bs2P+i/4+W+NHxOR6pyLYEtRWZSMuuRP7PipqKh2c3YOk3Q/HTBidcKNPZ5hkQ5mofPnyoNgWwcMZcLt3FWLjhtgg23gv6g615gYGBWLZsmVr8efPmTd0VoTmI2Jo8GlTl3cNjr/3Yf+QStm/eC6clvTB3yRr8eCYTMa8x4leRMJ4g+sperBk6C2v3XIW/ASPb18F2MaYSWETjVBM3RdCRiikH6VzQDzxNnDx5UnWHcN+c5Mo/DBFbk0Yrmo05SA5yxYWde2HvFYWbd7xwc/NALFy4CjO1kW3ca4PFGqDyFgLO7cTCmXtge/4+MhqNO2LJIy6HHrhw8NSpU2oCjcblnHJi5wLHgplakGJO86E5OF2+2IlAExpZefRhiNiaMJrqEpTFuMPP6Rj2O4Xjbn4janJC8MB6CBYussQc5xKkvG5xbkMpSkIO47LtelgcCoJbTHGLbk/lHiwORTD64oQTV/Qw0t29ezfu37+vu0t4X7jM8YcfflCFSRYjxRbzwxCxNVk0qC9MwCM7C+xdMgcLD3nCISAcoc42ODnrawwZNh4DN/riXEg2Mopqf4laGytRm30fYfY2OGF7Ao5RBUjgOtRWAFeqM6/IkV+O/lJ0mdvlyh5GwOXlxkx0tG14IuAmZRbGOGCSmpqquyI0FxFbk6UB1XnhCLCZBYsh3+D74WMxZMIUTBjcA/0//QP+57//L/6z12yM3OiFy5FFv0SuRY/wPMQJTqcuwcE7GallaNGo9tdQcJvGf9m5wJXrdBdj54Kvr+/bp5+En+Gfo4eHBwYOHKgKkFJ8/HBEbE2WRtRVPMPjIDe4H9+DI/usYW1tg20WMzC/71/w9dff4ospNlh56h7uJleqkhjqc1GYFIS7N33hG5WDZ03dVhWFKMtKQ25VtVGLZL9HTEwMDh06pMzKeRxmMY2RLj0XOIkmvBlGskeOHMGECRO0nwtr5dQmfBgitoIOjlBqUBHrBv9VXTFxmhnGn8hAVC7dl+jklIS023Y4tXcrVu88h9Med/EgOgoPokLhe8kTXh7BiMkrhWrLbWU8efIEdnZ2qnjG9Tw0LqcHA0dPWfThIsP2QwMaamtQXVOH+sbmO2exp5nbNRYtWqQeTtLH/OGI2AqvkuKDsA29MH3Wckw9V4IkFdBkIT/CDkfm9kXfT/8f/taxJ7r2G4zhA3ri++/74JtRazB/fyiicujk1DphZZ0Cwkj3p59+Ujldiu+ePXvw+DGXZ7cmtBKpqUNdTRUqystVrrlce6wvL6/UHu+rUF1br6b1fiuk9Wgsy0K2Nip9kpaPwur6l8xcatFYXwftW+8kwLS5ZBcCBxpYZBQ/ig9HxFZ4hbrnsXjicQBO59zgGF6ObNWNkIOiuKtw2b0Wq+fNgrn5IixYtBDzZ89QPZg/bXLEAd8MZJW1/giRvaPMRVpYWCix5YsFNUa+dLdqFaJSnILngXY4u88SK1ZaYtUaS2zYuA5rN1pjk40LLt1JRrr2t/nLn3YZCuODEebhCvdrPvAIiEFUShGKarRSW5uHiowoRIUE4Ob16/C/HYCg2Aw8zm9E3Vv+ujiiy1w3R3SZr5UWug9HxFZ4FU2DNgKqfeHA9LM7U6P27VrUVFWiUhthVVZWaCMsRlxlL6KuKu2xtU4D7am1TUBBpYCwc4Gi27NnT1V157GZQxH0b22ZYzP/AOtQEe8Fvw1DMO27T/BRh8744usu6N7pr/jkkw7445eLMGt/CB5qjxDUSk1tIcqSfeF9aD02LF2DdbYucApMQXKRBnXav7y6jHAkeh5RD5M9Bw7B/rgtdjv44lJwLsqrX/8Xxj+ftWvX4osvvlDTeoJ+ELEVTBaa2ERHR6uGfRrdsFWMa1+WLFmibAVZkTcujKrTkRJ2CafWr4f1tj04dsEFF5xd4XZ0IXaajUSP8XuxzCEFOVql1UopCqLdcH3bHFgs24jldgHwiXyK5Bztw1AF6PXIvOsDP63Anr8RgNtxjxAVeQOnjl/AxYvBKCv7bc8eF2+yOMZonw8gdnUI+kHEVhC0cBSV237pt0DRpRcAx3/ZLsZ8r3GgQmYgLSkKt3zjkJj+khgmuSDq1CqstgvEyWhtWKvRvorv4c7xFTAbNRULdvvC5zfdWfVIv3UF3gf24NydGERro/msp4E4d8wJTqf9UVLy2+idJxVG92z3mj17NsLCwnRXhA9FxFYQtDCiYw8ujW7oucBG/k6dOqnWJwcHB1VEY6Rr2M4FHutfGG9XcVPBz6f8GqS5HcRFy6Ww9ozBTQbc1bloCN6K/YvGoOvoHdh4PhoZJZWqiFZVU4863a+tfngT9y/sx3Fnb1y44YsgH3scOekOJ6+nKH0R/r4CuzPY8kWh5cMnKYmLxQV9IGIrCL+COdtr166p8d8ZM2Zg8ODBqjK/b98+JCQk6O4yFtrosyYG3vt3YfO8HTgblgrG2Q3F8Xh8cDQW9u+AjwZa4Kd1B2C/dwu2rdO+7H3hkVCBErYilGai6PFd3L3picuXLsHdwxveYUmIy6hGbf1vc7bcort06VI19syWLxlm0B8itoLwBkpLS1XnAjdFsFVs+PDhahcXRYgRsFGKaPWZaEhzxHErayxa5QX/BG4crkdl5m1cMeuDyd2+Rt/5O7Bs1z7YWM7GkvH90H/kIsywvoVbqRUvhkw01ajKjENiVBTuxT9H9msi2iaYw6YXAr0l+M+yVl5/iNgKwltgDpMFI5qUr169WokuuxfYxRAQEKAmqwyaWiiIQZHPWuzeuRdmJ9MQnc3/VgVKn7ji+KQ+mDhgOpZcSoBfxnNkpQfjsccqLB3SDz16L8O6a8l40NRo21CDWu3DobKm8aWWsd/CleV0T2NEL1GtfhGxFYR3gO1QnDjbv3+/6i0eMWIExo0bB0tLS3h6eiq7R0NQkRiI+7tmYaf1YeyIqMNTFUyXoTjpPA6O64vJw82xKbgaiepubcRadAWOs3ph8GffY+LBcFx7D73kg+PChQtqlTy7M8TlS7+I2ArCe8Aoll65tG/kcZsreti5cOLEiZ+3/+oH5lMrkBbiBvv5i7DL9jw8i5q2YVSjPNULzvP6YebomVh0NRfhTV1qDffgtWY0ZncfgB8PheHKe/x2WAzjRB0fIpy0Y6+1oD9EbAXhPWHnQmZmphr/ZaTLdrFu3bopoxtuNuAq9g9HG6U23Md974NY/tMu7D4ZjFSt/r7ICjSiPi8aD/aMx+ofJ2PcwVh4pvB9ToyF44rlXJgPm41NVx4i5D1Srrdu3VLpETqkMVpvX54RLY+IrSB8AFw2ef78ebWni6LL7b8LFy5UkS4j4GbTUImGx8fhc3QJJq24hP1eua/6TlTnozTiMM5unYupc3Ziw3Ff+AT6447PEdis3YI1m53hFZ+PHN3t7wJb3Njqtn37duX/KyO6+kXEVhA+EEaALCYxGmR/KgtM9IHdunWrKjhxQy2XJ74X9RWoDz+B2w5bseFcLK78puOMUWwy4n1O4PCKpVi7aTesjx3HyUM22GfvDqe7ucgqf3ex5P/D5s2bVQGQ0Tk9JAT9ImIrCHqCrWJ0yOL47/Lly5Xg0ryc/8wtte9VcGqsR2P+E+Q+jUd8VoXOEOjXNKCmMANpMWGIuHsHwWHhiHwQh7i0PGh/yUuOX78Puy4WLFigBjkkhWAYRGwFwQCwc4FDETQtHzp0qIp4m8Z/8/PzdXfpEU0dGmprmel9b9hpweIYC318OHDfmKB/RGwFwQCwiMZWKm6LoE0hBbdz585qWODcuXNqUovXW0NelG1rjGZnzpypPBGYrxX0j4itIBgYbql1d3dXOVxuiRg0aJBavU4PBl5radLS0tQDgeuD2PrFnwv6R8RWEIwEV65fvHhRpRRo5ThmzBisX79ejf/Sc6GljMsZfbODgr8vekLIUkzDIGIrCEaEhShGs1euXFEFqe7du6N///6qEyA0NFQJHVMQxoRjx4y26QERHx9v9P++qSBiKwgtAEU3KChIDUVQ5JjTZY8uI93bt28bdVTWzc0NX331lXL74u9LMAwitoLQgrDFirvPuFhxwIABqhuAG205YMDxX0ObwdC5jJuG2RvM7gnBcIjYCkILQxtDeuhy/JcFqqaV6+xcYI7XUJsiKPRMG1BkmT8+deqU7opgCERsBaEVwXyuo6MjFi9erMZ/+WLxyt7eXrWL6RMazdA6kjvXmELgAkzBcIjYCkIrJCcnB66urmrQ4Ntvv1U5Xa6pYT6XrVn6yOlyhJjuXtxCwYg6MfGFUaNgGERsBaGVQn+CqKgoFekyj8uuBeZ1WUQLDw//YAtEFsM4Ssx/r7OzcwtsEzYtRGwFoZXDKJbeClu2bFE2jvTR5QACPXWbtkU0By53nDJlijILZ2eEYFhEbAWhDcBiFiNRdihQdDkUQQ9djtcy3UBvAxrhvCv89zFqZk6Yu9U+yA5SeCdEbAWhDcEpM65V56QXRZddBH369FE7w+iry1zvu1BYWIjLly+r8WFzc3M9GZ4Lb0PEVhDaKCyU2dnZKaHlBBiFk/26FNEnT57o7no9LIZZW1urdASLZPpb5yO8CRFbQWjDsKjF7b8scFF0v/76ayW8e/fuVd66HP99nedCcHCwmlzjChzaPsrkmOERsRWEdgDTAtwKQfeuuXPnqjwshyM2btyoPBd+bQZ+9epVNa3GLbrs7RU/BMMjYisI7QhGsYxa16xZo4pobOvi0AKnw1hca1q57uTkpPwQaIDz3it7hGYhYisI7Qy2inH7L9vFuLxxyJAhajCCFoqMaFlg49YIvsd8rWAcRGwFoR1Dn9wzZ86o6LZp++/06dPVcASjXnrpCsZBxFYQTABu+G1aVd6hQwd88cUXKrcr+8aMh4itIJgIXDTJMd9du3bBwsJCRbzsZBCMg4itIJgY7M9lWxiFtrKyUveuYGhEbAVBEIyAiK0gCIIRELEVBEEwAiK2giAIRkDEVhAEwQiI2AqCyaIBaktRkpmAxHsBCPC7iZsBoQiLfICHcbGIjghByO0bCAx9gOiMKhQab7t6u0TEVhBMlkZoytOQfPMwjpoNwaiBQzFoxgas230MpxztcXT3ZmydPxmLV1lhu28uHhTpfpnQLERsBcFk0UBTU4inN22wZ/if8GWHnuiy4CyOe4Ti3v17CPP3gN++lTi4+wB23c5HpIjtByFiKwgmTQnSA/dh9+BP0X/oEsy/Vo4nTfa3dRVASgTS46JwN6MKaVW694VmIWIrCCaLRvuKRazrCiz4sjO+H28Fm5gGZGnfbagsQf7zQtSUlaKxthpV9RrU8Xah2YjYCoLJog1hi64hYPdY9P9zF3QesQ7bPP3hHXAZ7teuw/V2Fp5K6kBviNgKgqnSWI36qANwXtwTn382GN2mbcOek/txfNsCrNt6ENt98hFXoLtX+GBEbAXBVKkrwvNLS2A14Ut8NmQ1Zh++jRAWxfasx8FDp3EioRIpdbp7hQ9GxFYQTBINGqsSEW4zBov6foVuZs7YH1qKiufpyPH3QWhwOCIrGiFZBP0hYisIJkk16gt84GzeH+O6DMAE2wi4q8pYHRoLclBUUIjSRg0ksNUfIraCYJJkoir+IHaN7oM+nWdhxbUU3P9547kGGs2r23iFD0fEVhBMDU0VKjO8EH5wJIb+37/ij3+bA/Orj/BAK7bS3WU4RGwFwdRoLEbBvVNwseiLfp90xN/7rcYqtxg8KNegQXeLoH9EbAXB1NBUoyo7DgmBV3HNxQ2u1+8hPCUfBbUS2RoSEVtBEAQjIGIrCIJgBERsBUEQjICIrSAIghEQsRUEQTACIraCIAhGQMRWEATBCIjYCoIgGAERW0EQBCMgYisIgmAERGwFQRCMgIitIAiCERCxFQRBMAIitoIgCEZAxFYQBMEIiNgKgiAYARFbQRAEIyBiKwiCYHCA/w8CCGAWy1D/lwAAAABJRU5ErkJggg==)
Given two triangles are similar. Which is the similarity criteria it satisfies?
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
Find the value of KJ.
.
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)
Find the value of KJ.
.
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)
MathematicsGrade9
Mathematics
If two triangles UBC ~ UST, then find the value of BS.
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)
If two triangles UBC ~ UST, then find the value of BS.
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
satisfies which similarity criteria?
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)
then by AA similarity criteria
satisfies which similarity criteria?
![](data:image/png;base64,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)
MathematicsGrade9
then by AA similarity criteria
Mathematics
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides, including these angles, are proportional, it satisfies
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides, including these angles, are proportional, it satisfies
MathematicsGrade9
Mathematics
If triangles ABC and ADE are similar, then which of the following is not true?
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WikAeskqJpgP0TK1SooGsbEIIsewBWVugTY+WD5hamgsNbwFJrK0eUseVhWcYHikIesCfcvn375L///a9WZEQwzmlnJ1bkX8bKxxL2jbj//vvlggsuiOh0dPtlkEhsoSjkEquM5gGgwmKSEkKroT385Zdf6nnAips73DI1Jk+eLEWKFJHSpUvLlClTVBBw3vKwbGMPRSGXoDKaIABMtilTpoz86U9/0maDHccrK+6pY2WG0QjrtH344Yd1yTUwbwGwfGMLReEUsMqI/R7r1aunnWKIkWCRhCgIp46Vl1t26Ke57LLLtOOxb9++EWsjWMaxh6JwEqwSWkXEKr8WLVpIwYIFdft19CsAnHfdYJJ7rGxRfvAIILpvvvmmii625l+wYEG4GWF57ZVEH4pCLkAFtIRt1tFkQMJekOglx3G3wpJTx8rOvAKIAKY+QxgwGpHTLtYkNlAUToBVQPMAVq9eLQ8++KDuEo0IQgjIClhRo4OVo/UfYPu5a6+9VvsXEAEbcxfsfrC8YwdFIQescgITBKxtQLOhQIECcuutt2rsRYxAuHlZUaMDytwEAFPGEfAV4fEhEgDHKQyxg6JwAqzSwaUdMWKEzlhEKLH33nsvfM5EgxU0Olg5mreAOJcW8LVRo0bhlZSWj+UefSgKOYCKZgmkpqbqyke4sTVq1NCOMEBBiA1Wnla+CHiL0G0W8NWO2yuJLhSFbJgYWIXD9NtWrVqpICCE2MyZM/U4nmQUg9jili/2zsBU8ksvvVSmTZumx8yb4H2ILhSFHHCfQIjIjPFyLInu1q1buB/B8rBCxgYrV3vF0O+LL76o4ozJTTt27NDjFIboQ1FwQMVy07p163SUARWxYcOG4UU6VgHtlcQG914ATHuGp4CAr5jHYFCgowtFIRtWwbC4CaHIUQFvueUWWbhwoR7HebeiktiDska54570799f10ZgvQlGgNDxyKZcdKEohLBKZe4o9nzEaj14CV27dpX09HSKQT5gZW5ijU7eatWq6X2pXLlyxK5bvDfRgaIQwCqTzabDPod33XWXegmYTffdd9/pcbqp+YuJw/z58zUCNKaa9+zZU6eeQxToxUWHpBcFq0BWoVDBrEMLzYYvvvgiorJZIvHDytvuAyY2Id4C9tbApKYVK1boeddb4D3KO0ktCm4FQoVDQpsV26VjtAFrG6w54QoDiS9uudv9QKdv8+bN9V41btxYl1i7+Xif8k7SioJVICSraAi4Wr58efUSsG/Djz/+qMcpCPmPW/b2Hh7CzTffrPMXunTpEj6O+0XyTtKLghk8YiJgtOHMM8+Uq6++WmbNmhWRj3gHu2/YNwKeHZoRN910k3zzzTcR50neYPMhADoYsQoPgoBmw/jx4/U4cCsXxSF/Qfm79wxgxqntG/HMM8/I3r179bibl5waSSkK2SsMNnLB3HosukFEJewaDdw8rGDewjw8NP0wqQliDmHAYrVDhw6FcvG+5YWkFQXzAPCkee2113RJNBY9zZ07N1zh7JUVy1vYPbF7iE7HBg0aaBDdiy++WIO/Grx3p07SiYJr5BjawpJobBlfrFgxXXSDSUrAOh+Jt7F7ichM6FeAt4DdrNFpbKIOKA65JylFwZ4wiKSEufR4wjRp0kS3R7fzeGVF8jbuPcI9w05dFvOiZcuWGovBzgHez9yRlKIAUGEwvo1mA2bHYRYjcJ8uxPu4woAVrAi3j/iZGJHAzEfcT3h9vKe5J2lEwa08YNKkSTq+jWXRAwcODO8SnT0fSQzMG8DcEmzjh2bEE088IStXrtTjuKeWh5wY34uCa+RWKVatWiX/+te/tOJcd9114bX5rDSJiRm83et58+bJhRdeqKI/bNiwUK7IZoTVCXI8SeMpWMchYiRg5yE0G2677TZZsmSJHjdYWRIT3DczejQjqlatqvcY61fQjDAo/CfH16JgTwR7iqCyDB48WFfXYQVkv379QjmDUBASG1cY1q5dq8Jwxhln6EpXdCIDTHqyekFyxreiYDcdlcQqCiYpYS4C9m3A7Lc9e/bocVaSxMfun3sfx44dq80IhIjv1KmT9hvhvHU88p7njC9Fwb3ZqAAQhR9++EH3bUA/QtmyZbVfAbBi+A8zeCyDx1AzvIWrrrpKt58D5jkC3v/j8XXzwZ4IcBkRgBVj2JiXkJKSoudxzq0gJPHBvUSyPiT0GaHvCA8DrHzF3BTA+/7L+E4U3BuNioHkVgzMTcDqOmDNClYO/2D3Eq94GGCG6rhx4+TKK6/UfSPatGmj5wHve874UhSQzOCxOAbBOAoVKiSVKlXi1mNJgN1TW0mJ13bt2mkz4vLLL9d9I7gv5S/jy+YDbrSJAgKwli5dWncvHj58uFYGa1YAVgh/gvuKZMLw7bff6kMB3uJjjz0WMQXa8rIuBPGdKLjKv3jxYt0MFkuin3/+eQ3ZBVBRWAH8j91j618YOXKkzmA999xzZcCAAbrBjImBJeJTUQDYIwAbk+LJYAFYgT05ACtBcmAPip07d+pCKayIxRJrDFkCEw0SxLOi4Kq3pRORPQ9GGEqUKKHNhjfeeENFAudNNE72eSTxceuE3XdMaccoBB4WDz30UHizYDfvcYTOucnPeEYU3MLOucgD50PvAhkjboy9txuPDULKlSunNx7ewrZt2/Q4BSF5sXuOPqWhQ4fq8DRWU+KBYSCP5dP3+kZ/zIFs+XyERz2FY3L0yGE5eGC//JyWJvsPHBJz8EL3TLG3uDFm8Jjeiv4DzFpE8JTPPvtMj5uL6N54khzYPbc6AmGAGOChgcAsixYt0vPWAZ29fhzLOCrpBw/I/oC3uX//AUk/fNR3QuDiSU/h6KH9snDWeBk6ZKAMGz5Khg8fJ/OXr5WDGTgfSJbX+R3ccPQXvPXWWzr8iLUN6Fgy3M8nyYlbBzC7EeHhIQz/+c9/dIk1zrneZDDnIdn69UwZkTJQBqQMk3HjJ8uibzZJOrKFPs9vtcozooCbYTckbcdGadfwKXmxbg3p1X+YvP3a/6R+0xaS8vkaSccdCN08uxn6PnAMcxAw7ITx6Bo1akS0F0lyo8Zr9Sb0inic2C8US6xbt26tm9UCnNOEH45uk5ndq8v/PVpFarfrLUOGjJA5i9fIoWBVDX5u8K1v8KSn8NO29dK1SysZO3WipAXctX07vpDBbzWWF17uKct3hkYPcGNDNxcJLiFmKyK02qOPPhqxB4D72YSgvgBE7UbQXjQ1sdcHAr5aPTmWGWqwpm+WmX1ekde6pci0NTtk9549cuDQkaAQaL3SXL7CW6KQGSzhXT+ul+5dW8vYmdPliB4R+eKD9+TVR16UqV/vDB44luVZYCor9ha87LLLVBQYzZfkRNjgA6/Wf4DNg7F7NeoN9hDF3AWQmXk06Ckc2SFz+9SVx5+qKrVadpTREz6SVduCeQKZAv8C9Tb4k2/wpKewe9sG6da5uYycNlUO6xGRxWP7SdNHasq0pSYKWfmXLVumEZSg+I0aNdLVcQCiYZ/LxOQme6DgPaY9Y6HcOeeco56DReLS2nV4m3zSp548X7eRdBo2Q5YvXy7b9gabGYFf1t/3G97pU0ABh27UrkDzofPbr8mIj6cG1Xr7l/Ju65ekyv96ybd7gs2HzNBoApQdzQbs7lSqVClZuHChHickt6DpiU1ksKEMZjtG1KFDm2RG7/rS6O0BMndz8JAJi+E3WfCOp6CuWFAU9u3YKG81ry4vN24oKSNHS58OTaVJy3YyaslGwa4MmWjvhW7KhAkTdJISlH7IkCF6gwk5VTAF3tZGYN+Itd+vDZ44ul1mv1NHnqhWQ5r1HCofTpgkC5dtiBh9CNZa/+AZUQhYunoLICN9v3ydOlU+HD9aJk4OvE6aLotXbhTdDExvRLBZgPFl2wAEk1EQvfe5557TGWtMTLlNCNsGIbjkkku0LqF/AcOUG3StzBH54Zv58tG40TJq/IcyY8YnsnzVVjkcUgI8yCgKMSInFywz44gufc5arRD0KAD6DapUqaI3EQnNB3vPxJTXBEGw96PHjNG6FiRTjhxOl/T0w3L0aNZwuB/xZEdjzgWe1TmEICkYbUDsPdy8Bx54QJo2baqdjNhTsGHDhkxMp5zQN/Xqq6/KP//5T+20vu+++3TKfI5YXUW91Xf+wTvNB1cUQu8tuccA1sYj5h4mnSAAK35GUE50OmIrcrwyMeUlof4g4jd2mMIDp2PHjuHFdDlNldf3+s4/eEcUToDdBKQtW7ZoJCXcsPLly+vGooREEyyxRpBfhG/DiNasWbP0uNVBv5MQomDNBowsvPvuuzp0dNFFF+nyaNwkrHlAgpIzMZ1uApjtiElNePhgiTXmwqCOoS76XRw8KwpW8O4NwMSRihUr6o2qVauWunW4UXbeXgnJC6g/ZvQAHkKZMmW0vtWtWzc8Kc6Ew6/1zfOegt0A3BBMQ8ViJ8RKmD59uh6nEJBogvpkCbRt21Y7HbEzOeqc6y0AP9Y/T4qCW+AQBQxLYrQBHYtoNsycOTN83s83h+QPrtFjYR32HkWcTyy0w6ZCwM+T5DwrCkhQZQARwCo2zEXAaENaWpoepyCQaOPWKTN8dGZj3xA8kBCjA0uscd5NfsJzomAFbM0G9ATXr19f23UIirFixQo9Dvx4Q4h3sA5u9F2hGQFPFbMex48fr8dR9yyPn/CUKLiCgMJGs6F///66tgHx9N58881wHooBiRWoW5ZQF/G6fv16ncyEhxOm0odXUjp5/YJnRMEKFa92I2bPni3XXHONhldDTD1u90bijfUvoMkwcOBA3VgIof46d+4cPu83b8FznoIZOgKwYrQByowdfdCMACYYFAQSa6yOmTDgoQRvFXUSoxGffPKJngd+qpOe8hRcxUUYbkxSQjSliRMn6jFrVhASL8zQrdN71apV8uCDD6owVKhQQefOAL8IAvCEKJggWMEioObtt9+u/Qhw06DQriD46QaQxAB1D3UQCR2NxYsX1zkz7du3D+UI1ktLiUy+i4IVoFuQ6MiBEr/wwgsRzQaQ6AVOEg+rc/ZQwpA4VuWijqKPAQuoAPL5oX56QhTcQkcBFylSROclWFgsCIJfCpwkJlb37BW7jlWrVi3cjMCwJTCPN5Hrar6KQvaCRmTdsmXLakF36tQpPHmEXgLJb8zQLQHsal6yZEk566yzpEOHDrrsGiS6MOSbKGQvYIRpt12i69SpI5s3h6JkhkjUAib+weqg1Vt4Bz179tQ6i12sU1NT9TxEwZoaiVhv89VTsIID6FDE+nW00RA0BbgFm4iFS/yF1UG3PuLhdccdd2gUMDQnLFKTeQuJSL56Cig4NA2wCSxCa0MUevfuHXbD3JtAiFdAfbSESU3YNwIBhLFoCnuZIgoYsL6wRCNfRAEFZV7Arl27NAozFjv9+9//lq1bt+pxK3RCvIhbh2H83bt3174Fm1eD/jDLk2j1ON9EAQW5Z88e3auhcOHCcv3118uMGTPChZloBUmSC6ujltDktUlNCA+PsIE55UsE4i4KVjB4/eijj+SKK66QYsWKyfDhw8PKm4jqSpIT11v44IMPdP8ReL3dunWLGKZMJOIiCq5KWgEhWEXNmjXD28ajGQFMECgKxOu4dRoJcR3RpwDPF4umbIk1sDqdCPU6rp6CCQJe+/btqz22WJ/+6aef6nFgeQhJBMzQrd5CGLDbFJoR6CtDgBY7nwiCAGIuClYQbsFhbTpWPmKX3x49eugcBQAXDCRK4RECshv9pEmTdG9TCEOTJk10Pwng2oKXiVvzwQQBzQasbcBUZmz7bcM3dt7rBUbIL2H1/PDhw9KsWTMdYsdQ5bx58/S4KxxerudxEQUzeIB9G9ARc+ONN8r8+fP1mBUWBYEkKlZ/rQ6j2fDkk0/q3pS33nqrLFmyRI/bEmwvE5fmg4kCCgajDeiE6dWrl4ZbQ5PBFQ1CEh0TBsQTRTAWNCOwNsKaydkFxGvETBTsgu0VS6CxgQu8hGeffVZWrlypx7PnIySRQT22uozZju3atZOiRYtqJOipU6fqcTwILZ8X631MRMEu1DyA7du3y+uvv65BU6CcWA2JSUp23osFQ8jpgLqNhACvCA8Pb6Fq1arhhX5ebkZEXRRcAzejx/Zb5513nk4DtYCXwKtKScjpkL1ejxgxQh+GmL+A4CwQCpyHMHjRBqIqCu7FmYuEDhcoJJTynnvuCUdSMsEgxK+gjsMG0HeG+CDYNwIPxzFjxuh5tz/NS8IQNVFwLwrv7eexY8dKwYIFdUm0jTbYOS8VBCHRBHUbBm9Gj7k5tjYC+0fYpkaurXjFHqIuCm5BYKZi+fLldZISYuYDKyy3MAjxGznZA5ZYI1ITpvZjOrQddyftecEmotp8MGMHiK+IiMxQxpdeekldKIDzbj5C/I4ZPYYk0aeGBYCIQYoVwiYEJhBesIvTFgW7KCTrR0BIdkzvhCBgSTRi2bl5CUkG3LpuwoCROAzNwzbKlSsnGzduVEGw5AWiJgomCHiFAqK3FdGU3nnnnXA+KxhCkgUTBtR9M3rsa3LllVfqVH9sh2gBir0iDFFrPpgoYAcd7A5doEABadGiRXg/f1wszlsiJFmwOm9Gj5WUXbp00b6FUqVKyVdffRXKGdkEzy+i2nzAxTZu3FinMaODcenSpRF5CEl2zCvAwxPhB7F5cpUqVXTvVOAFOzktUcAFuO4OYtMh8gziJCBeAvoWTBAsEZKMWN03bwGdjlOmTJHrrrtOPYZXXnnluLUR+UWeRcG9SIAOlEqVKunaBuyYY15CIqwKIyQeZLcZxCht3ry5rqTEw3Ty5Ml6HOSnMJy2pwAw3GgTM+68806dpAQxsH4GkF8XSIjXgC2YMGBh4KOPPhq2HUyBBvlpN3kSBXxR+7IwfARdxdgr3KB+/fqFL9he8+PCCPEiZjuuTWDfE/QtwMtu06aN9s3hfH7ZzymLQvaLQjMBwytQuqeffjq8CoyCQMgv49oQHqz9+/fXZgT647p27arLru1cvDklUbCLgMEjYeddDDvCQyhRooQsWLBAz1MICDk5sBN7eGKhoDUjKleuLKtXr9bjEAXkiadNnbKnYBeBkQXM3z777LN1khImLJmq4QIoDIScGNdO8Iq1EZj0hyF9RGqCjQHYVTztKdeiYBcAUUAnIqYuY5omlK1Ro0YRAViZmJhOPWFIErEX0IRAwNc5c+ZE7JgWL2E4JU/BPIG0tDSdpISgERh+tGYDIeT0wNB+9erV1bYqVqwYDlsITBRiLQ558hQw6QLTMxFezd0FhxBy+qSmpoY77zt27Bjefi5fPQUVgND7wA+S6QgCFnOg2YC1DXBzateuLW+//bbGYGzZsqW0atWKiYkpD6l169a6QKp+/fq6cxpEAQFfJ0yYEDLGrIezpcD/gq9R5OSi4HAsIArt2rbVL8vExBT7hGHKYcOGhSwwGyFRiDYnbT5kHD4oP23bLN+vWSPffb9exn00WRq8Ul/q1a0rdQOpTp066i0wMTFFL8G26tWrJ71795atW39UW9y/e7usXbNa1m3+QfYdDK6TAHHzFDJDf2fd0lQZ1Leb9B2UIoMGD5KxMz6XfcFRSUJInFi7dL6MGjxQUt4fLP3fT5EJ8xbJjgNH1FPICHjw0eSkojB33CD5X5NGMvKTz2TCiN5SvXkHGbJ4W/AkISTmpH0/Qd5q8bK07TpEPvt8gcya8bFMmr9INu0JhjhEn180OWmfwqcTh0mzNq3lw8+XyMTR78oLrd+SlC+36/mMjMxwJyQTE1N0Ezr2RQ7L5CaPS+2ar8q8jVlNhlhyUlH4fFKK1K31nLzeo7d0btlYatV7XSZ+sU2OBDKg4zGQlRASbQK2FWwVbJd2//ekNG08SDbpNCFMHoyc4ei+jwa58BRGSNs335I5a7fJ5q/mSKd6NaR2q/6y6Qi+cUbUXRdCSIBj8MLxZq/0eepRafByN1kVXCMVJGB3RwKeeiw4qSjMmzBM2nftKqmbt8qmpXOlZ5MX5Pmm78jagFpBFOAtEEKiTcAGQ6a1KqWxNKxTR1KmL5WtW7bIpk0b5bt1m2TL7uDaiGOWMUqctKNx0aT3pdojleSBZ1+U518IeAktOsq0pRtE4ynBxaGnQEj0CZjVMTPCg+tk2ge9pFHdWlKzRsAOGzaXHuM+ka1pwXiPcRt9MFNP27lFlqTO0qnN02bPk6Vrt0oGTuJLO/kIIdEEBoZ/QQs78vNP8u0XqTJ1ymSZNm+BrNqyM2iHAWCH0SRHUTiOwB/NyEB4tSxFCn8NegqExASzrCwTC65Qdu0wFpzUUzjO6HEudIyeAiExxOwL9hayuTB6KHgs/p4Cvli2RAiJN9ntMHQ4BuSu+UAISRooCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEEAeR/wfbpdyyUC5j2wAAAABJRU5ErkJggg==)
If triangles ABC and ADE are similar, then which of the following is not true?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAADbCAYAAABk1YR6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACbnSURBVHhe7Z0HgFTV9cZDNAWSIBAxarAgqFGMhdjQGFQQNSb4txdURFGQqqGJdCkq0kFAqS5dqlKkS3GVZgFEBKSDCEhbKQvscv7znZkze2dZYVlmZt+8+X5yndn37s7Ou++e753bzv2VEEKIA0WBEBIBRYEQEgFFgRASAUWBEBIBRYEQEgFFgRASAUWBEBIBRYEQEgFFgRASAUWBEBIBRYEQEgFFgRASAUUhiTgWSoScCIqCnzl2DP9CBN6H/m/HjmWdJCQMRcHHZOlBNuN3fqYskOxQFHyKegGBZN7AwX07Ze3a9bJ51/6gx6CnQ3k0ByFBKAp+5limZOA1c78sn9pXnn7mOanXY6rsOaonJTNwXgWBqkAcKAo+BV5ARmbQ6LcvWybj339PGrZpJC3f6CzL1u8K5ckMCIP2MujPhACKgh+BoWfCE9AfZPGns2TYR7Pl62WLZNb4/jL2k6VBDwJnA8IRzEdIEIqCD4GNZ4a8BJE0mTuut7Rp30U+HDdWer7ZTJp2HS7pISHIDCgCBIQQg6LgR9B0yMgMvt+zVoY1ryp331RWKt9fWW6+/hapXLODfB88q00IJEIMioIPgZFn6NP/gCwe00VqV6st7buNkukzZ8jE/t2lQY368vLwrwNnNbc2IQgxKAo+RJ/+eJOxS1In9JGu70+Rb37SUyJHtsmMIQOkcbfZsjt0iKJAXCgKfgWqkJEuabu3y497f5b9RwM/BpoUxzLTZd9PO2XDhp2SHs5ISBYUBR8SnJQU+sHhuKFH/TFwFPkJCUFR8CEwcv1PhyYzgiMRIcPHK37OyAidDxy2c4QAioJPCRp8lhC4uMeznyOEouBzzOi3b98uy5Ytk0OHDunPrhhQGIgLRcHHWLPhwIED0qlTJ7njjjvk/fffl/T09PA5CgLJDkXBZ5ihZ2Rk9SV88MEHUqZMGSlQoIBcfvnlMmXKlFDuLOEgxKAo+JSjR3UppGzYsEEqVaok559/vlSoUEF+85vfyAMPPKDeA4AoIBFiUBR8hHkJ9uTfsWOHtG7dWgoVKiRPP/20jB8/Xm688UYpXry4dO/eXX7++WfN5/4OIRQFn+E+9UeOHCkXXnihFCtWTAYMGCB79uyRnj17SpEiReSiiy6SsWPHaj4KAnGhKPgEe9qbgW/btk0eeugh+dWvfiX33nuvrFixQo9jBOL222/X4/fdd5/88MMPejz775PkhaLgA8yQXS+hVq1a8tvf/labC+hYPHLkiOZDXwOaEX/729/0fJMmTbRTEtjnUBiSG4qCT3ANecyYMXLuuefKmWeeqc0GCAIw0Th8+LD069dPvYXzzjtPRcJGK9jpSCgKCU72p3pqaqr84x//UIN/9tlnddISyO4NoBPymWee0Xw33HCDfPrpp3rOEkleKAoJjBmvPeH3798vzZo1U0MvWbKkzJkzJ3ze8rpGDyFAR+Svf/1radOmjezbt0+PQ0DcfCS5oCgkOGa4MOTOnTurkRctWlT69OkjBw8e1HMmCm4CON+xY0cdnbj00ktl3Lhx4bx4JckJRSFBMcPGKwRhzZo12gyAl/Dqq69GzEGwV3sPzOh/+ukn7WzE71WpUkXWrl0bkdf9HZIcUBQSFBirGTYEAIZduHBhuf7663XY0cjJqO137dyXX34pN910k3Y6tmzZUtLS0vS4m4ckDxSFBAXGagY7ffp0NWg87VNSUlQkshu+ix3DeXgZe/fulR49eujvX3DBBTJ37tzw71oiyQNFIQFxjf3bb7/VyUlnnXWW3H///bJlyxY9nhtjxnl8Fli5cqVUrlxZp0Tjc7Zu3arHc/M5xF9QFBIQM2T0B9SrV0+f8LfddpssXbpUn/yuaPwSdh6v+B3MXViyZIlce+21+nlvvPFGeNGUm5f4H4pCgpDdMGH4Q4cOlbPPPlsXOMH9t5WRyGPpRLifZbz++uvqdeAzseTaZkLm5vOIP6AoJABmjK5hrl69OryGoVq1arrWAbh5c4N9pgkDPufhhx/Wz0VQFjQrwKl+LklcKAoJhBkuZik2btxYzjjjDLnqqqvk448/1nOW8or97qhRo+Tiiy/W2AuYDIXVlcDOUxj8DUUhAbCnOUATAROT8CT/61//qsujYazoF8jr09zNb++7deumzQj8nb59+4b7KoxT/RskcaAoeBwYH4zRjHDx4sVy1113qbFWr15dpzYDVxTyCn7fPgOfh8As+DuI1PT111/rcfe7EH9CUUgAzAgxQtCqVSuNtVi2bFld/ARcYz5d3M/5/PPPdTIUhKFFixYa8BXAW6Ew+BeKgkcxQzfjg0FiNABxEP74xz9Khw4d9GmOFG2smYBXLJSCKPz973+XCRMm6GgEjpvHQHHwHxQFj2PDjJ999pkuiYYgNGrUSDZv3qwGGW3jtM+yz0PgV/y9P/zhDxoA9rvvvtPjFqOB+A+Kggcxo7QnNkYb6tSpo09sjDYsXLhQj5sgxAL3sxcsWCDXXHONBm3BYqudO3eGv599V+IfKAoewwwMBmeigACrWN5cokQJeffdd8Nt+1gZoxm6/X38PQR8xUSpSy65RCZOnKjHgeWhMPgHioKHcA3Lmg2Yunz33Xerl4A1CdnDssfSGPHZ1mexatUqqVixon6PRx55RL0F4I56xPK7kPhBUfAYMCzr3Ud7HiHTEBmpfPny2q9geWJtgPb58ARg+Bj5wCQpLLEuWLCgrrmw4dB4fB8SPygKHiG7EaIjD0FXsUcDEvaABMgXD5fdNXR3hOO9995TUUB0JzRr8F0sxfL7kPhBUfAAZoCuYX311Vfa2w93/bnnngvvz2B5LMUS9+/g74KNGzdq8wHfC80JLN0Gbl6S2FAUPIAZkj1xsSQaEZDQbIC7jlmMdt7yxtv47LuBqVOnaixICEP79u11bUR+fjcSXSgKHsEMDqCnv3Tp0rq127Bhw/QYDM114+OJGbn9fcRZwHdEtCfsYv3OO+/ocYC8FIXEhqLgAewpC6ND4FSbWoxJQ7t27dI8ZpD5YXTu3zTxQhzHBg0a6PfEpKrvv/8+wlsgiQtFIZ+BEbleQv369eX3v/+9bvc2f/58PZY9T37iGj3WXlxxxRXa8YjAsRihAMhDcUhcKAr5SHbDwZAjXHKIAvZgMOOyJ7AXDM39HpjUhOYNvAX0MWBzGYNeQ+JCUfAICMuOKcwIbILdotetW6fH86sf4US4wrBp0ya55ZZbNOALIkFZpCYvCRk5NSgK+YRrMOi9t9gF5cqV01mMwH3aesm43O8Oli9frs0dfP+XXnpJ96kEXhQ0cnIoCvmEGRUMf8iQIfKXv/xFt4Zv165djrs7eRH7XocOHdLoz1jBiRETLPHGdQF79eo1kOOhKMQZGIebsBQZzQY8ZbES0naJtvNexb6bGT0mV2GXa6ykxFoNbGMH3Ovw8vWQLCgKccaMBK41BAHuNiYpXX311Tqs5+bxOvY97bsuWrRIhycRe6Fhw4a6dgO415II15XsUBTijLWz0XOPAKwYaTjnnHNkzJgxYYNJJMPBd7Xvi2vDGg00ISAMgwcP1uPAPArifSgKccA1diSsgsQcBKx8RLOhatWqCb+pqxk9Ok2xezWuCwFmbYo2SNRrSzYoCjHGhACYl4BJPtYxh6XR2K7NjMrNnyjg+7oGj4CvEAR0nCIojIE8li/RrjGZoCjEATMCJKwbgIuNQKjwFFasWKF5IBiJbij4/hYcBtvY/e53v9O1ER9++GH4+hL9GpMBikIMMSMwLwBg/wSEZ4fBdO/ePXQ0y/1OVKOxazVvCIFl0YmKZsTNN9+sk7NAol9nMkBRiDGuKKDfAIFPMWvxqaeeUsPBOSQzkkQ1Fvf7mzDMmjVLSpUqpcKAtRF79+4Nn8drol6r36EoxAir8K7BY4QBwU+xd8Ps2bP1mIVe8xNm8Ijj2KlTJx1dOf/88/X63fOWiLegKMQIVHbzAgA6E2+44QbdnxHxB3bv3h1x3i+Ykdt1YXamTeG+8847w9vPmTdBUfAeFIUYkN0wsL37k08+qYbx2GOPRURCBsjvF+Owa0Gy6583b552rOL6rdkE7Lxfrt0vUBRigGsYiHjcu3dvHX5E+xqhzLBWwG8eQnZMFMzg+/XrpxOa/vznP2tAWpQBmk5uHuINKApRxsTAjH7GjBkaSQkzF5s1a6bHgBmCnw3CygIg4Ct2ycbchXvuuSeiGeHmI/kPRSEG2NMPodRq1qypbjMiINtagGRoT5uhI5lAItYCBAHDsdggF7Mf3fPEG1AUoggquBk8KnqvXr10uzeMNsyZMyd83IwlWbAyAVgmXrx4cW1KoUlhWLmQ/IeiEAVcIzcDwNJh7NtQqFAhDYNuJJMg2LUimTeA8PWvvPKKek/33nuvRm4Cdj5ZysbLUBSiiAkChhsRGwEhyurWrRveXi0ZvQTD9RYmTZqk3hM6XzGZy6ZGmzCQ/IWicJqYkSNZbzp61xFJCbEF4rn/o9cxUcSWeKNHj9aJXFhmjSFLYGWU7OWU31AUogAquz3lIAIYk8ckJbSf3T4GkIyV3r1e8wrQbHj88ce1GYHyQpxH4g0oCqeBGbgZPCp87dq1pXDhwjpJx42kZE/JZMfKAmIJAbVQdLVq1ZKDBw+GckUKCYkvFIXTxIwdFRq96Zjnj3kJqPCcnBOJlYO9Yhl527ZtVRSw38WgQYMiNpQh+QNF4TRAxbXKi12i8dRDO7lz587hzkVrPrCSR2JlhynPNpejZMmSum2e4ZYviR8UhTxilRWvaCYgkjEqNtY2rF+/Xo+bl8CKfTxuuWA7e2w/h/LDtnkoTzvHsos/FIVTxK3MxqhRo6Ro0aK6PBhRhigGuQPlZK9Dhw7VMkR/DDpoMUJh51iO8YWikAeskqJpgP0TK1SooGsbEIIsewBWVugTY+WD5hamgsNbwFJrK0eUseVhWcYHikIesCfcvn375L///a9WZEQwzmlnJ1bkX8bKxxL2jbj//vvlggsuiOh0dPtlkEhsoSjkEquM5gGgwmKSEkKroT385Zdf6nnAips73DI1Jk+eLEWKFJHSpUvLlClTVBBw3vKwbGMPRSGXoDKaIABMtilTpoz86U9/0maDHccrK+6pY2WG0QjrtH344Yd1yTUwbwGwfGMLReEUsMqI/R7r1aunnWKIkWCRhCgIp46Vl1t26Ke57LLLtOOxb9++EWsjWMaxh6JwEqwSWkXEKr8WLVpIwYIFdft19CsAnHfdYJJ7rGxRfvAIILpvvvmmii625l+wYEG4GWF57ZVEH4pCLkAFtIRt1tFkQMJekOglx3G3wpJTx8rOvAKIAKY+QxgwGpHTLtYkNlAUToBVQPMAVq9eLQ8++KDuEo0IQgjIClhRo4OVo/UfYPu5a6+9VvsXEAEbcxfsfrC8YwdFIQescgITBKxtQLOhQIECcuutt2rsRYxAuHlZUaMDytwEAFPGEfAV4fEhEgDHKQyxg6JwAqzSwaUdMWKEzlhEKLH33nsvfM5EgxU0Olg5mreAOJcW8LVRo0bhlZSWj+UefSgKOYCKZgmkpqbqyke4sTVq1NCOMEBBiA1Wnla+CHiL0G0W8NWO2yuJLhSFbJgYWIXD9NtWrVqpICCE2MyZM/U4nmQUg9jili/2zsBU8ksvvVSmTZumx8yb4H2ILhSFHHCfQIjIjPFyLInu1q1buB/B8rBCxgYrV3vF0O+LL76o4ozJTTt27NDjFIboQ1FwQMVy07p163SUARWxYcOG4UU6VgHtlcQG914ATHuGp4CAr5jHYFCgowtFIRtWwbC4CaHIUQFvueUWWbhwoR7HebeiktiDska54570799f10ZgvQlGgNDxyKZcdKEohLBKZe4o9nzEaj14CV27dpX09HSKQT5gZW5ijU7eatWq6X2pXLlyxK5bvDfRgaIQwCqTzabDPod33XWXegmYTffdd9/pcbqp+YuJw/z58zUCNKaa9+zZU6eeQxToxUWHpBcFq0BWoVDBrEMLzYYvvvgiorJZIvHDytvuAyY2Id4C9tbApKYVK1boeddb4D3KO0ktCm4FQoVDQpsV26VjtAFrG6w54QoDiS9uudv9QKdv8+bN9V41btxYl1i7+Xif8k7SioJVICSraAi4Wr58efUSsG/Djz/+qMcpCPmPW/b2Hh7CzTffrPMXunTpEj6O+0XyTtKLghk8YiJgtOHMM8+Uq6++WmbNmhWRj3gHu2/YNwKeHZoRN910k3zzzTcR50neYPMhADoYsQoPgoBmw/jx4/U4cCsXxSF/Qfm79wxgxqntG/HMM8/I3r179bibl5waSSkK2SsMNnLB3HosukFEJewaDdw8rGDewjw8NP0wqQliDmHAYrVDhw6FcvG+5YWkFQXzAPCkee2113RJNBY9zZ07N1zh7JUVy1vYPbF7iE7HBg0aaBDdiy++WIO/Grx3p07SiYJr5BjawpJobBlfrFgxXXSDSUrAOh+Jt7F7ichM6FeAt4DdrNFpbKIOKA65JylFwZ4wiKSEufR4wjRp0kS3R7fzeGVF8jbuPcI9w05dFvOiZcuWGovBzgHez9yRlKIAUGEwvo1mA2bHYRYjcJ8uxPu4woAVrAi3j/iZGJHAzEfcT3h9vKe5J2lEwa08YNKkSTq+jWXRAwcODO8SnT0fSQzMG8DcEmzjh2bEE088IStXrtTjuKeWh5wY34uCa+RWKVatWiX/+te/tOJcd9114bX5rDSJiRm83et58+bJhRdeqKI/bNiwUK7IZoTVCXI8SeMpWMchYiRg5yE0G2677TZZsmSJHjdYWRIT3DczejQjqlatqvcY61fQjDAo/CfH16JgTwR7iqCyDB48WFfXYQVkv379QjmDUBASG1cY1q5dq8Jwxhln6EpXdCIDTHqyekFyxreiYDcdlcQqCiYpYS4C9m3A7Lc9e/bocVaSxMfun3sfx44dq80IhIjv1KmT9hvhvHU88p7njC9Fwb3ZqAAQhR9++EH3bUA/QtmyZbVfAbBi+A8zeCyDx1AzvIWrrrpKt58D5jkC3v/j8XXzwZ4IcBkRgBVj2JiXkJKSoudxzq0gJPHBvUSyPiT0GaHvCA8DrHzF3BTA+/7L+E4U3BuNioHkVgzMTcDqOmDNClYO/2D3Eq94GGCG6rhx4+TKK6/UfSPatGmj5wHve874UhSQzOCxOAbBOAoVKiSVKlXi1mNJgN1TW0mJ13bt2mkz4vLLL9d9I7gv5S/jy+YDbrSJAgKwli5dWncvHj58uFYGa1YAVgh/gvuKZMLw7bff6kMB3uJjjz0WMQXa8rIuBPGdKLjKv3jxYt0MFkuin3/+eQ3ZBVBRWAH8j91j618YOXKkzmA999xzZcCAAbrBjImBJeJTUQDYIwAbk+LJYAFYgT05ACtBcmAPip07d+pCKayIxRJrDFkCEw0SxLOi4Kq3pRORPQ9GGEqUKKHNhjfeeENFAudNNE72eSTxceuE3XdMaccoBB4WDz30UHizYDfvcYTOucnPeEYU3MLOucgD50PvAhkjboy9txuPDULKlSunNx7ewrZt2/Q4BSF5sXuOPqWhQ4fq8DRWU+KBYSCP5dP3+kZ/zIFs+XyERz2FY3L0yGE5eGC//JyWJvsPHBJz8EL3TLG3uDFm8Jjeiv4DzFpE8JTPPvtMj5uL6N54khzYPbc6AmGAGOChgcAsixYt0vPWAZ29fhzLOCrpBw/I/oC3uX//AUk/fNR3QuDiSU/h6KH9snDWeBk6ZKAMGz5Khg8fJ/OXr5WDGTgfSJbX+R3ccPQXvPXWWzr8iLUN6Fgy3M8nyYlbBzC7EeHhIQz/+c9/dIk1zrneZDDnIdn69UwZkTJQBqQMk3HjJ8uibzZJOrKFPs9vtcozooCbYTckbcdGadfwKXmxbg3p1X+YvP3a/6R+0xaS8vkaSccdCN08uxn6PnAMcxAw7ITx6Bo1akS0F0lyo8Zr9Sb0inic2C8US6xbt26tm9UCnNOEH45uk5ndq8v/PVpFarfrLUOGjJA5i9fIoWBVDX5u8K1v8KSn8NO29dK1SysZO3WipAXctX07vpDBbzWWF17uKct3hkYPcGNDNxcJLiFmKyK02qOPPhqxB4D72YSgvgBE7UbQXjQ1sdcHAr5aPTmWGWqwpm+WmX1ekde6pci0NTtk9549cuDQkaAQaL3SXL7CW6KQGSzhXT+ul+5dW8vYmdPliB4R+eKD9+TVR16UqV/vDB44luVZYCor9ha87LLLVBQYzZfkRNjgA6/Wf4DNg7F7NeoN9hDF3AWQmXk06Ckc2SFz+9SVx5+qKrVadpTREz6SVduCeQKZAv8C9Tb4k2/wpKewe9sG6da5uYycNlUO6xGRxWP7SdNHasq0pSYKWfmXLVumEZSg+I0aNdLVcQCiYZ/LxOQme6DgPaY9Y6HcOeeco56DReLS2nV4m3zSp548X7eRdBo2Q5YvXy7b9gabGYFf1t/3G97pU0ABh27UrkDzofPbr8mIj6cG1Xr7l/Ju65ekyv96ybd7gs2HzNBoApQdzQbs7lSqVClZuHChHickt6DpiU1ksKEMZjtG1KFDm2RG7/rS6O0BMndz8JAJi+E3WfCOp6CuWFAU9u3YKG81ry4vN24oKSNHS58OTaVJy3YyaslGwa4MmWjvhW7KhAkTdJISlH7IkCF6gwk5VTAF3tZGYN+Itd+vDZ44ul1mv1NHnqhWQ5r1HCofTpgkC5dtiBh9CNZa/+AZUQhYunoLICN9v3ydOlU+HD9aJk4OvE6aLotXbhTdDExvRLBZgPFl2wAEk1EQvfe5557TGWtMTLlNCNsGIbjkkku0LqF/AcOUG3StzBH54Zv58tG40TJq/IcyY8YnsnzVVjkcUgI8yCgKMSInFywz44gufc5arRD0KAD6DapUqaI3EQnNB3vPxJTXBEGw96PHjNG6FiRTjhxOl/T0w3L0aNZwuB/xZEdjzgWe1TmEICkYbUDsPdy8Bx54QJo2baqdjNhTsGHDhkxMp5zQN/Xqq6/KP//5T+20vu+++3TKfI5YXUW91Xf+wTvNB1cUQu8tuccA1sYj5h4mnSAAK35GUE50OmIrcrwyMeUlof4g4jd2mMIDp2PHjuHFdDlNldf3+s4/eEcUToDdBKQtW7ZoJCXcsPLly+vGooREEyyxRpBfhG/DiNasWbP0uNVBv5MQomDNBowsvPvuuzp0dNFFF+nyaNwkrHlAgpIzMZ1uApjtiElNePhgiTXmwqCOoS76XRw8KwpW8O4NwMSRihUr6o2qVauWunW4UXbeXgnJC6g/ZvQAHkKZMmW0vtWtWzc8Kc6Ew6/1zfOegt0A3BBMQ8ViJ8RKmD59uh6nEJBogvpkCbRt21Y7HbEzOeqc6y0AP9Y/T4qCW+AQBQxLYrQBHYtoNsycOTN83s83h+QPrtFjYR32HkWcTyy0w6ZCwM+T5DwrCkhQZQARwCo2zEXAaENaWpoepyCQaOPWKTN8dGZj3xA8kBCjA0uscd5NfsJzomAFbM0G9ATXr19f23UIirFixQo9Dvx4Q4h3sA5u9F2hGQFPFbMex48fr8dR9yyPn/CUKLiCgMJGs6F///66tgHx9N58881wHooBiRWoW5ZQF/G6fv16ncyEhxOm0odXUjp5/YJnRMEKFa92I2bPni3XXHONhldDTD1u90bijfUvoMkwcOBA3VgIof46d+4cPu83b8FznoIZOgKwYrQByowdfdCMACYYFAQSa6yOmTDgoQRvFXUSoxGffPKJngd+qpOe8hRcxUUYbkxSQjSliRMn6jFrVhASL8zQrdN71apV8uCDD6owVKhQQefOAL8IAvCEKJggWMEioObtt9+u/Qhw06DQriD46QaQxAB1D3UQCR2NxYsX1zkz7du3D+UI1ktLiUy+i4IVoFuQ6MiBEr/wwgsRzQaQ6AVOEg+rc/ZQwpA4VuWijqKPAQuoAPL5oX56QhTcQkcBFylSROclWFgsCIJfCpwkJlb37BW7jlWrVi3cjMCwJTCPN5Hrar6KQvaCRmTdsmXLakF36tQpPHmEXgLJb8zQLQHsal6yZEk566yzpEOHDrrsGiS6MOSbKGQvYIRpt12i69SpI5s3h6JkhkjUAib+weqg1Vt4Bz179tQ6i12sU1NT9TxEwZoaiVhv89VTsIID6FDE+nW00RA0BbgFm4iFS/yF1UG3PuLhdccdd2gUMDQnLFKTeQuJSL56Cig4NA2wCSxCa0MUevfuHXbD3JtAiFdAfbSESU3YNwIBhLFoCnuZIgoYsL6wRCNfRAEFZV7Arl27NAozFjv9+9//lq1bt+pxK3RCvIhbh2H83bt3174Fm1eD/jDLk2j1ON9EAQW5Z88e3auhcOHCcv3118uMGTPChZloBUmSC6ujltDktUlNCA+PsIE55UsE4i4KVjB4/eijj+SKK66QYsWKyfDhw8PKm4jqSpIT11v44IMPdP8ReL3dunWLGKZMJOIiCq5KWgEhWEXNmjXD28ajGQFMECgKxOu4dRoJcR3RpwDPF4umbIk1sDqdCPU6rp6CCQJe+/btqz22WJ/+6aef6nFgeQhJBMzQrd5CGLDbFJoR6CtDgBY7nwiCAGIuClYQbsFhbTpWPmKX3x49eugcBQAXDCRK4RECshv9pEmTdG9TCEOTJk10Pwng2oKXiVvzwQQBzQasbcBUZmz7bcM3dt7rBUbIL2H1/PDhw9KsWTMdYsdQ5bx58/S4KxxerudxEQUzeIB9G9ARc+ONN8r8+fP1mBUWBYEkKlZ/rQ6j2fDkk0/q3pS33nqrLFmyRI/bEmwvE5fmg4kCCgajDeiE6dWrl4ZbQ5PBFQ1CEh0TBsQTRTAWNCOwNsKaydkFxGvETBTsgu0VS6CxgQu8hGeffVZWrlypx7PnIySRQT22uozZju3atZOiRYtqJOipU6fqcTwILZ8X631MRMEu1DyA7du3y+uvv65BU6CcWA2JSUp23osFQ8jpgLqNhACvCA8Pb6Fq1arhhX5ebkZEXRRcAzejx/Zb5513nk4DtYCXwKtKScjpkL1ejxgxQh+GmL+A4CwQCpyHMHjRBqIqCu7FmYuEDhcoJJTynnvuCUdSMsEgxK+gjsMG0HeG+CDYNwIPxzFjxuh5tz/NS8IQNVFwLwrv7eexY8dKwYIFdUm0jTbYOS8VBCHRBHUbBm9Gj7k5tjYC+0fYpkaurXjFHqIuCm5BYKZi+fLldZISYuYDKyy3MAjxGznZA5ZYI1ITpvZjOrQddyftecEmotp8MGMHiK+IiMxQxpdeekldKIDzbj5C/I4ZPYYk0aeGBYCIQYoVwiYEJhBesIvTFgW7KCTrR0BIdkzvhCBgSTRi2bl5CUkG3LpuwoCROAzNwzbKlSsnGzduVEGw5AWiJgomCHiFAqK3FdGU3nnnnXA+KxhCkgUTBtR9M3rsa3LllVfqVH9sh2gBir0iDFFrPpgoYAcd7A5doEABadGiRXg/f1wszlsiJFmwOm9Gj5WUXbp00b6FUqVKyVdffRXKGdkEzy+i2nzAxTZu3FinMaODcenSpRF5CEl2zCvAwxPhB7F5cpUqVXTvVOAFOzktUcAFuO4OYtMh8gziJCBeAvoWTBAsEZKMWN03bwGdjlOmTJHrrrtOPYZXXnnluLUR+UWeRcG9SIAOlEqVKunaBuyYY15CIqwKIyQeZLcZxCht3ry5rqTEw3Ty5Ml6HOSnMJy2pwAw3GgTM+68806dpAQxsH4GkF8XSIjXgC2YMGBh4KOPPhq2HUyBBvlpN3kSBXxR+7IwfARdxdgr3KB+/fqFL9he8+PCCPEiZjuuTWDfE/QtwMtu06aN9s3hfH7ZzymLQvaLQjMBwytQuqeffjq8CoyCQMgv49oQHqz9+/fXZgT647p27arLru1cvDklUbCLgMEjYeddDDvCQyhRooQsWLBAz1MICDk5sBN7eGKhoDUjKleuLKtXr9bjEAXkiadNnbKnYBeBkQXM3z777LN1khImLJmq4QIoDIScGNdO8Iq1EZj0hyF9RGqCjQHYVTztKdeiYBcAUUAnIqYuY5omlK1Ro0YRAViZmJhOPWFIErEX0IRAwNc5c+ZE7JgWL2E4JU/BPIG0tDSdpISgERh+tGYDIeT0wNB+9erV1bYqVqwYDlsITBRiLQ558hQw6QLTMxFezd0FhxBy+qSmpoY77zt27Bjefi5fPQUVgND7wA+S6QgCFnOg2YC1DXBzateuLW+//bbGYGzZsqW0atWKiYkpD6l169a6QKp+/fq6cxpEAQFfJ0yYEDLGrIezpcD/gq9R5OSi4HAsIArt2rbVL8vExBT7hGHKYcOGhSwwGyFRiDYnbT5kHD4oP23bLN+vWSPffb9exn00WRq8Ul/q1a0rdQOpTp066i0wMTFFL8G26tWrJ71795atW39UW9y/e7usXbNa1m3+QfYdDK6TAHHzFDJDf2fd0lQZ1Leb9B2UIoMGD5KxMz6XfcFRSUJInFi7dL6MGjxQUt4fLP3fT5EJ8xbJjgNH1FPICHjw0eSkojB33CD5X5NGMvKTz2TCiN5SvXkHGbJ4W/AkISTmpH0/Qd5q8bK07TpEPvt8gcya8bFMmr9INu0JhjhEn180OWmfwqcTh0mzNq3lw8+XyMTR78oLrd+SlC+36/mMjMxwJyQTE1N0Ezr2RQ7L5CaPS+2ar8q8jVlNhlhyUlH4fFKK1K31nLzeo7d0btlYatV7XSZ+sU2OBDKg4zGQlRASbQK2FWwVbJd2//ekNG08SDbpNCFMHoyc4ei+jwa58BRGSNs335I5a7fJ5q/mSKd6NaR2q/6y6Qi+cUbUXRdCSIBj8MLxZq/0eepRafByN1kVXCMVJGB3RwKeeiw4qSjMmzBM2nftKqmbt8qmpXOlZ5MX5Pmm78jagFpBFOAtEEKiTcAGQ6a1KqWxNKxTR1KmL5WtW7bIpk0b5bt1m2TL7uDaiGOWMUqctKNx0aT3pdojleSBZ1+U518IeAktOsq0pRtE4ynBxaGnQEj0CZjVMTPCg+tk2ge9pFHdWlKzRsAOGzaXHuM+ka1pwXiPcRt9MFNP27lFlqTO0qnN02bPk6Vrt0oGTuJLO/kIIdEEBoZ/QQs78vNP8u0XqTJ1ymSZNm+BrNqyM2iHAWCH0SRHUTiOwB/NyEB4tSxFCn8NegqExASzrCwTC65Qdu0wFpzUUzjO6HEudIyeAiExxOwL9hayuTB6KHgs/p4Cvli2RAiJN9ntMHQ4BuSu+UAISRooCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEkAgoCoSQCCgKhJAIKAqEEAeR/wfbpdyyUC5j2wAAAABJRU5ErkJggg==)
MathematicsGrade9
Mathematics
In the given figure, two triangles are similar, then it satisfies
![](data:image/png;base64,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)
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/wg8DreA8+w4x+rkY/U7g6NTpQpjOmY4ZioMfNzQ0tW7Y0qluWLFliZEDiKGrew3y9vq+VEn8TfzffgVnUGh5jAx3GHXr37m0EF2+66Sbcd999RnT7q6++Mlzx+Pj4sitK3xvdbYra/C55L/1M835tyYWrU2NFrTOKzjhErzOS++2336J58+Z44403sG/fPmM/MWc2LpkJzRnRqvC38Tc6Cov7Q0NDjY8gPRta5//5n/9B7dq1jbrn+fPnw9fXt1xATL977SHpffSatOXW6HN5npXf7/9LaqyomaGYiXRG4ZLbhFU1o0ePRosWLYxWUCwjOsLzmdF4H21FmLjfiqkyGN2eOXMmWrVqhT//+c+45ZZbjHUWWXbs2GHUIpgxi1nfl+9Nv0v+H+hjej+vudLfIJSnxotaC5FLupdcp+VhFcxzzz1nWBrWozrC880ZlNtWTI5i4j5GqBndZtttBsTYeoyudoMGDdCnTx8sWLAA/v7+5VxrwnW+c74zDffx/el3qDHvZ3L8O4TKqdHut84sOvNySTdxz549ePHFF436VB8fn4vlaTP6fH2tMyb+PrPrqpP5b+Y6j+slz2fSv80MYw2sW96yZYvRHp61A/Rm2Nrurbfewrx584wOGwwq8l6O6Oc53lf/LY7o/RUdEyqnxoraDDOZzji00mzmSBeS9dR0L6sb/C38TWaBariuRUx4rj5P7zefz/2sUz527Jhhgdmx5YUXXsCTTz6JRx991ChHf/3110YvKxZbhKpHRO0AM+c777xjWJ9///vf5RpJVBcoSrNQ9QeLS22NtSXVojYXRTSs2mOQa/Xq1cYHju4128EzGNawYUOjiMKqP1ZT8R6E15s/CsL1p8aL2pyJmTGZgdu3b2+4ldOnTzfad1c3tLC4NP8+R7Fz27zUSYuS1VSsBeD7YPt33SqM299//z0OHz582fvhtfp6oWqo0aJm5tMWhjCDsmcRe2bRrVyxYoXRQcEqmMWrxcd1LXQzDHSxZxWr9VjnfOuttxptt2md2cwzLCys7MzSj4iOWgtVT40WNTMhM6NeZ0Zm90rdAoqjcDCCawW01TZbbg3fAX+nFjmbcbIL5dNPP21Ete+//36jzTa7m3p7exu1AWYB649CRfcWrj81WtTMhDpzMlNTxIx6s2fWwIEDjaF2zJm3umAWMJMWK5dXgt1NDx06ZIjX1dUVt912Gxo1amR86DZv3oygoKDLGpE4VulR3Nzmc4WqQQJlZbB/MOukmYlZfuTQOsHBwdUyczoKWltSs6jN6xRmREQE1q1bZ7jXfAd33nmn0buKwUKOAEMxm68hFC+v5X4mrtPqi9WuWpxK1P9tNuD1FaVrgS2fOALH3XffbbicDATpThzVDS0yJgpPi9osNG5ThBycgD3QGBRkryoOYMDoNi01RzZh9FsXURzRHw4tbl2uFkFXLVUkavWfXpCPpPgsHPFNwfLjSRj3ayLGHk3B/PMZ8InPR2L5uI0DxbBn5sI/IBVL1LX/PpqEL44kYZS6x4jDiRiu0oiDSfjyRDq2xxcgoQKvkxnenPnYf5oNKBgUYpmadbLVtTytxcakhc2lI3Fxcdi0aZNR90yrzN9eq1Yto7qKUW82NDFT2f24zo+ECNo5qBpRqy96UlQK1h2MxHsrg9F4biDunOWPv7gFoc4KG/rtT8UyWz5iClTGLLukPEXIjE3FT1tD0c7ND7VmB+IPcwJx27wg3DE/CHeq5V9nBuOh5dH40jcXfqpY7Hgfc8ZkfSxbST3//PNGxmbDk61btxrHnAmzWCsTD/fzd+njjufRMrOBDVt+sSskA4LsfMFg2COPPGJUV3333Xc4c+aM8Y4c4T5HAXNZ0bpQNVSBqEuQn5QBb28bei0PwF1KjLfODYarRxDaeKjtuUH4m7sNz+9NxdbkQlwKy5gpQkZMCjZsVtfNuIBaMwLwpwWhaLM6Am9sjMDbmyLQa40NA3ckYFGoHSEqbzraKXOm9PPzwxdffGFY6H/84x/GoAjM9M4E/1aK1TFpEenj/F26XOsIA2EMBrIF2KuvvmpEt2mVOXgBA4McPJHHWV2lm8ZWJmC9LTgf11nUzAjKHQ5KwIyl/vjbxPOoNTcc9Xcmwu10ElYdtOGlRYG46YdA3LEiFt8qQUZXGHwutdSbtykhz/HFjQtD4bojEdPPZOBoaCZOhGXiUHAmjkfkICijCGlK0Y5ZkAIgFAAju6yX5iiXLEvOnTu3wk4cVY0WMkWmhcZk3sd1ClH/PsJ1lo35u2iZOaKnbuLJ4YaWLl1qNCRxjCHoe+r7CtWDKhB1PmxBSoCrQ9BEWeV6WxLwVZAdNrsqR0ckYqba/9gP/rhzWRQ+vpCHcxUWa8tEvTUErWb54uYlEejok4VdSQ7SVZvc4yhoMyxXspEFMzkbWLD/NGeTcLbytNk6UmBaZNxH0WmLaobn0N1m9JpdIdn0lZ4Iy88sR/Njpq2yo2j1ffVHw/G44LxUgfutLGdKDk74pmHtmVSsC8vF+Wxm1iLkxqdg+doQNJrohzuWRuLd33Jx/NJYfyYuF3WXX7Ox73cO9smILSO/bNd8xx13GGNRswrHPHSRFlJVwr/B7AY7/k1aeOb9PJ/DC9EKv/3228YY24xqs4UY66FZZnYcHZXvg9cR3o/bTI73FpybKgmUFasMUlSkMkq5Wd8LkRWThLnKUj/+nR9uXxKJIcpMn7kWS73Uhi5HsuGVpm7GzFfEjF926hWgFdu2bZvRWooNLThbBAeeN5cnnSEzU1T0HHR/b72PgqvIOvOjxIET+YHikEz0QJhYhuaQQ45FC/5OFkMYMOQ99UfCLGqh+lAloi6PEqASd35eDi5ciMWIZcH4+49BeGBNHL4LVa56hfnpckvd/mC6YfXDYrJwypaNwzF2BGcVI/sK+ZGBI3byZ2MLlqdZxvzpp58uWitnFLWGfxsbhJj3cZ3WmWNqs3qOY2xzFE8Kmq43JydgqzDzb+JHQf9OnQifyWMi6OpHFYu6BPZsjkKZgp8OR2P4plDUZ5WUuw3dlS/tmaJc8rIzy1Mq6p8YKHPzw80LlMu+PhJvbInCW5tU+XqjDR22xmPwkQzsTawsgl7ad5rDFXEYW5Y1+/fvbzST1NbPWUTNv4F/i/67uM11s6Wm18GIPRvNcMQWFico6Lvuusvo/8zINqP8WqS0yrxGW2ZHuM8Zfrvw+6liUavydVwqtm4PRe85frh1Kuucg/HA+niMO5OLkLzKMtWlKq2mM3xRa1Yg7lkcho7rbei2NhT13ANw89RA/GVpNEacy4FfvrI8ZVdqKAZGfDk4HsfW4lDAHM3D3DSUAnC2jF2R2GihOYgBq+VYdv7DH/5gDP7H8jMn+OMMGQyI8cNAeD0FzZFM+B647fiR0Djb7xeuTpWLOj0mFZu2haD9XH/cMDMAteaGoO76WHx9OhvnlftcsfNXaqm3bA9BOzd/3LggDI22J2F2YCaOhiZj4Y4wPD3dF3+cH4Y2B9KxIVG5rw43YpCIbiqHAGbH/2effdboS+3Y1dKZMnVFfwuFevbsWaMFGGfn5MB/bLtO68xGJBQ7xastNEXLa7Tl14LWlptuvn4Ol874YROuTJW73wXK/Q4ISsXyU/EYtduGzouD8aQSYyfPRCyw5SPq0hh1JkqQl6nK4L5JcD8cjy+OpmJOsB2hBSrz5aty9fFIDPTwxY3zgnHn1mR8E1qI9PIGyBitg22bOU8Wy5yvvfaaUZVlLkMyMztzhqZYWV315ZdfGo1IKGi2Dvvggw+MEUnYzFNbZ8LfQgFrMRMtclppClq740x8FyLq6ocTBMo0+UiISIT7+hA0mOyHPy+JxJsnc+BTyRgFzGiFhUXIL2AqhvpXSm4eIs9EYfgq5corUddan4iP/fOR5NDAigJmKyqWpdmJgZ05HDv+/7eZmtdd6dqrHa8IjuTJ6DXLz8uXL8dHH31kBMEeeughY84vPSKJed4vPoPi1R8s/VxuU9B6v5n/9rcLVcf1F7XKJPkFhcjMKURaViGy8lXmKj2A4uQ07NoRimdUOfmGheFo552JrUkqAxrHrxGVmW2/ReJTLep1iRiqCtWloi69EzM8629Z5uTwPHS96YrrgfN0htZWjMvfixaNozDMguJ9tdj0fn2MSzOMdDOwxylh6WEwFsDqKrYOa926tdHnme3VKXjHhjP6vo7o/Vc6JlQ/rrOoVSYptCM8Mg0rDiXgy32JmOWbg/O6Z196Brw8w9Bxpi9uWqjKw16Z2JyoMlfZ4Uso9zs3H7bILBwNSMcvYdk4nlIEY7SsvGzEno7CsOV+hvt968ZEfBGQjzRDl6XD7nDsrU8++cQoe9JKs+/0hQsXjGNEi1kniuz3YBaLozi0mOnmMsDFZ2oRc+kYrOIHiH8vrTLnyOa8zhzJk50vKGpG7Nn8k41ozNVbQs3lOotaiaMgG6dORePdeYG47cdAPLIpAVMjVNk5Jx+xEcnw2KDc7yl+uHmRDT2PZeNQusroKuMnJ+fieGQuTiQVIFFl+syUTPgcjMRnq0PQZVM0Bh7JxK6kfKQmpeOYt7rW3Q83zA3B4zuTMM9WgNwyXdEar1mzxqj2YdSbbb05EyPLpxqKimKjoM2CvBa0OCu6jvv0B0OLWpdhiX6u3ub0PxzdlFFtehX8e9lI5rHHHjOas7KhDLuMMuinr6ns2ULN4fpb6uJcBJ+PxecLAnD7D76otTACnfYkwO1IAub9HIFXPAJxy6RA3LkyFv8JsiNBCSAzMRWbDkTh5bUx6OqVgY2phcjPyMIJ73D09PDDTW4h+NvqGAz1ScDyX6PxxboQPDLVHze7h+Plw8qSqw+DtrUMkE2YMMHokcVmk+ytxMH7KQaihedoMa8VXl+ZqPS9+Sxz0sfM11LcLBvTreaEc6ymoqhpnT///HP8/PPPRrt1899YUqIFLaKuyVRBoExZ2bh07Nlvw5vLAnGfWwDudQtC/fmBaDgvAA/ND8bjK6LR91Am9hs+s7LSEXH4aqk/an0diForkjA+ShWQVaaPD03ABFUGb6iu/cusQDzsHoQm6qNQf24gHlKCfnZHItzD8xBtCpLRzWZ0+G9/+5vRh3jkyJGGtdNW2VFwZqFdC1c6/1rvxTLxiRMnDAtNQXPgAnY46devnzELBt1xfnTMlBTzR4qYhSoRtcp6SpCJ0SnYwlZk68Pw/OIQPLhQWddl4ei+LRbfnc6EV7ISv2HEVHk4JglztoSh7rwIPLI9FXNjSzNwcV4u/AKSsGC3Df1XhaLBohA8sDgUrdZFYohXCpaF5iEiTwmJtymD1u+VV14xGmewGojNRKOiogyRUMTa8lF8epvL/4bKxOy4j8/i5AF0uRmN55C8HCuMRQS246Z1ZrCsfNlZ3UNZ6OJCTjVbhLTcIsSrlJhXjOyCEhSKzmscVSJqIyMWFiA1NRcXbJnYG5SB5f4ZWBmchQPReQjPKsKlxmTFyM+xIyAyC1sDs7E5Kh8BOfqgysyqLJ4Qr8rpYZnYGJCBpSpti8jBmeQCJNjL52iKZvv27Wjbtq0xwglHOmGHDja8cLTK3KbQ6QabXdzfA+/F++h7Xwk2/GDPqcWLF+PNN980LDSbeLI9Oj88PMaGMeYPTCGtdYn6GCnLHm1Lx97j8fjm51j03h2HAQeUl3IuE0eSCpBs8lQE61NFor5elBcSg2EUDfsTsyqL7ixnbqwICpmC/r+KmiLmdUxmUZuFTrhk2ZgjjtDdZgs3NiK5+eabjXpnDjnkOM424XWF+XaUZGchKDgRs/ZGoP/KEDzrEYxHVPHj7nlBaLQqEn290rAqSgn7//ZdEqoh1hZ1scrJJgvJ6Vc5+R1bkbEHE11aDo1bEWZRXs3KVoQhOlVO16I2w30sNzNqzU4WrK5iQxi2P6egmehN0EKbG8Q4UlKUj4zwRCzeGQLXRcGouzoKH+yJxYQdEei9LBB3uAXjrx7ReOdIJk47FEME62IpUVN8WoBaVHqbQmK3Q1rDBx54wJjsjaIxT4DHa8wCNN/v98Br+Dy675VVi9FroHVmJJvVa4zEMyDGunMO1cvRTClo87X820o/Etyn/rbCPPifjMZQd3/8eVYYmu1NwaaobIRHpWCjTyR6rgxDyyWR+OhQGrwziyvp8SZYDUuLmgLQ23Sj2bnh/fffN0TNmTh2795tNO5wvIZLs5iuFX0Nl1rUXJphPfm5c+eMebo4uyaDdfQa2MyTAwAyGs+WYZxC1/EDw21+JEr3qw9QbiZ+OWDDi9MC8efZkXj9hHLFjcq7AqQlZsLrTArWH0vFrpAc+OcUV9oFVbAWlhO1WZBc6nVGjDkAQvfu3Q0r/dVXXxnuuBYx0ddzn1nc5qQxb3Opr3Pcp8/jMdaRb9iwwfiwNG3a1HC3ORxx3759jaafnp6ehjdBt5wfIX2tmdJ9XCtEYVoa1u8JR4vJQbhlThT6nc5BqHGWQj07P68I2Tkq2Ut7qUmxumZgWUut0dtsO82hfNh4g8LmIPb6mPkarjuKWu/ntlmoGi1oLh3heSy3s4EL+2uzmSfFzL+DfZ09PDyMKiwKnvcwo+/LZH6eQUkB7AlJWOAZitpTgnGjWzTeO5WF4EIl4uwCJGcUIlui3jUSSwbKtOh0IpymlsPh0kJyyQYnFcHzHQVN9H59TGPe7whdez5n9uzZRss1Nu/ktD7dunUzOpTQKtMiVwbvTXf7ksttoigfudEJmLI9BPdMD8Yf3Gx4+ZckLAtIwZJTiZh2OBnuF7JwMLEQiZVOiiBYEcuJmkLQFs4sSjYw4SD9bEPNVlkVzZPF8/X1Zritk/meXNeC1vv1eZxwj+708OHDjQnsOQYaG5Jw8AIKmsfNsPzNpO/DpXmf3n+RQjuybfEYvzUEd8wMQq05wXh0aRieWR2KestC8KBHCJ5YHYmX96dheWQBUi93IgSLYskytaPQuGRwigPZs+6XYjNbSC0anRypTHCsltJlXw07YbDumx8OWmeOf8aoNgdi6NixI5YsWYL4+Piys0s/AryH+V5M/Pu5TStdIQVK1BHxGKdEfduMANSaFYRHViprvTMafXdGoN2yQNw+IxC3uEeh75Eso0qrwvEmBMthSVEzmYVGwbBMy/Iso96cd1qjz3e8RouLicIyW0wKjmV0utfcT7iP3sDOnTuNCDabdrIDBuucGd3mB4WCNg/Pq59LzM/jPj6T99THL8Mk6lumUtRh6OyVhp3J+UhISccu7wh0mR2IP04JRVPPFKxNLkL65d8rwYJY0v1mMhMbG2vU+3IwBLYi47S1hILRVths2YkWl17qdZ7H82lFtaC5zqGD2BWS1pkiZhdJutwclWTs2LH45ZdfLlpo3kuPsW3G8VnEcfsiF0UdjD9ODVTudyT6ndTR7zyEn4nBsHmBuIPdW39KwDRbQbmOLYJ1sWSgzBFaZg4FzBFCRowYcdFaUiwUJNOVRK3hOs9jMkNBT5kyxbg/m3eymyTHCmNVFYXOnmG8l4bVa/Qe9H30c8zP1Os6XcbFMnUwbp2qytRuUXj3dA5K28flI+xcHMbND8S9k/3xwKY4fBNcgLDKY3KChbCc+81khoKgS9y7d28jYMVRNzmIv6YyN7dSMTnA6io3NzdD0Cw30zqzuoofD7YYY9Td/BHg85h4by3cyp6vz3X8TQbF+ciNURZ4RwjumVIq6gFK1OHGQYo6Fl8oUd8zKQAPbY7H96EFiJBCdY3AUqKmOBxFwH1svUXRcdqZWbNmGULT6A+Bo3B4nVmMjvAYLTSbmrKdNi00q6s4dhij26zKYplbQ1ebf5v+G7mt92mBE/OS59Kqa0+iHCXqHskpWL4rDC6TA3HT7Ei8dSoHpS3F7Qg/G4uRyv3mbCe1tybCTfne8Vf/RgkWwFKipkAoAG31KAy62pyPmQ0+OKE6h85lN8eK4Pk6OVpOQoGxfE7BsmUY+zyz+yZHUWFV2ejRow3rzAi4hvfi38RrKUxuc2l2+83wuIbrFL6+tjzKk8jJxMGDNvSYEYCbZoah5b5UbE3IQ3RSGnZ4RaDj7ADUmhIG191qf2oxKpxrULAclhK1dlm1MGgpWX3Fxh6sWmKQjEPr6gCVo4WkcJgcBU1RsUmpt7e3YenZo4rWmSN5MhDGbY5GygEMGABzhPd2fJY5XQkeN19bjiI7bOdVeXlVEO6ZG4S7VkSi3+5YTNpjw8BVgbhrTjBu8IhBn2PZOJ+n7lN2mWBtLFmmpgiY2PSS42BzwAFOU8seWhSnFoj5A8Cldof1PlpS9pRim3EOmN+jRw+jAwaHFqKYGQjjHFU+Pj6XTQt7fSiGnQMwHo/GkLXBqO8WgPtmBuDeWf7419xA1FkVhdd80rEuthAZougag6VEraGgKUjOXkHrzGl1KGyWf82WlFaZAmbiNWZB0zrTzaZoO3XqZHwUOAQSLX7Xrl2NaDd7fZmn6dHXXldU2To7JQtHT8Vj4nYbuq+NgMtaGzruiMP3JzPgk1iINBF0jcJyllovaTnZaYN10zfeeKNhWTdu3FjuHJ20ZTfj7+9vzEXFccIY1aagOfkce1hxwrnw8HDjw2GmovtcF9Qz7dkFiE3Ow5n4PBxW6XRyPmKyi2AXQdc4LCVqbXkJW3fRyrK+mK26ONgge0NptAArEiFnvpw+fbrR+YN1zrTOvJ7dI1muNgfC+ExaeF0W188XhKrCUqJmmViLlAP1cZ4pDt7H+bI4Iwdnh9Q4CprrjIpzpotJkyYZgTC63AyGcextDljIKizHaiq66RVFsQWhqrCspWbVEsu+dJvr1auHqVOnVjoeGS0trTPd9SFDhhhuNidtp8vOPtCcTI/W2SxcrlPUXDJpKy2WWqhqLFmmpjVlW29GqlkeZqCLgjU3OtFQrAyoTZ482aj6opjpcnN0FJapOTAgRW+Gz+E+s6XXghZRC1WNpURNKCpWQ3FAP5aFORPH4MGDjRkvzOJk22ueR7HTNWdAjJ0wOB44hxBmgxW68I6CNiMiFpwRy4maImQDE1ZlUaScWmf8+PFG4ExDIbKTB4cL5sidbN7JPs/sKsmRPbmf5W9zdJvX8N5MWsjaBTe73vqYIFQVVShq5brmJSAx9DR+9foZu7Zvh+e27dixbRu2G2knPD0P4MDxQPjFZiPz4vwxankF4XDo3WXLlhnlYYqaIt2yZYshRga16E6ziefQoUONpp2cEpYjeXJ90KBBRsswDjOkLbQWKYVLAZuDcY6i1ktBqEqqTtQlOUCkJ/bMHoKe7duiSSNXtGnVBm1bt0G71q3QunkLtG7WAR3fGIcxS47icHQ2OINUcYkSVJmoiFlEXGfAi1Fvlo3vu+8+o7cUJ5RjeZrVURzAgLNgcI5nCrlXr16Gq003nOexjG0WLZN+BpeOzzNvC4IzUHWiLkqF/Tc3eHzUFnXvrY37a7dFx5598cabb6F/v9fxWrdn8FydR1D7/lZo8/oUTPs5DKFK1YUUEYVdhhYg4ZjamzdvNgJjLEuzZ9bEiRON6ihOzP7WW28ZwTMXFxdjvDL2debgBfwQmKuqNI6iFoTqQNWJ2h6FxL1fY/Kb7dC0UR/0GLEASw8cgfeRozh50gcHd3pg+ehX0LNeXTRo/A4Gux+FTxpQYOjrksgoOg3rkdlfmq43XWpOLkc3mx0uGAhj4IxCZ3twlqnpOleEtsBMImqhulFloi7OugD/pR/gsw7PoOkz4zBy6W/wz7UjL5/DBKllqh9sWz/HmK7N0cClD/rNPIj9yUD+FUTNqimKmK41G46wuyX7ULNVGS03hU3LTctsFnRF4uW2CFqojlSRqAtRkOgN769eRb+mqjz92gJMOpBYvr9viQ0pu8biiy6t0bDJEHzocQInVDG8rNOkITYmc/mX3Sw5SAGtNINkTJyjigLnQIATJkwwAmW8hoEwRrd1RJtJC1gfF1EL1ZEqEnUmckI3Y8O7L6CbSxe0+XwXVgRfKhsricIevgu/fP0q3nBtj9avzMb0XyLBSiklMyX4y6uQ2FuKZWQOWcQgGdt7c7paDmDAEUTZuIRjhVGorKNmlJwjgprL5LwXj9OKc8ljTCJsoTpRRaKOQ/qpBZjZsy2ece2Nl2Ycxa64skMk6xwurPsK4zq1Q/tnP8B7c47hYJQdrDUuKVGyLhOaFhuXHCGUI4+wzpktwihsRrfZbpvBM/at1i63Fi6tsRnuY7UXl1rMImqhulE1os4PQuwvEzDmpeao80RLtHhzLEZOnA/3efPgPt8N8374Al8NGYT3+n+BMbN2wzM4s3TSdAq5+PJ21uwjfeDAAcMiU9AUNgc0YJ/nw4cPG1ZZw2s1vF5bZK5T5NpKa/dbRC1UN6pG1MnH4L/2Ewzs9BTu+9djqF3XRZV5m6OFa2M0d2mA+g83wlOt3sE7U/ZiW1AOcrSmlMC00MzExcVh8eLFxuwbdLdZXcXRStjnWVtnjf4YaEFri23ez8TyNhPXBaE6UQWiLkFB+E74THsNvVo+jTouL6JH/w8xdNRnGPnJ+xj6dmd0algbdR5rj5aDV2DukVRVAi9DiZBCdBSar6+vUZXFpqFsErpv3z6jztqMdqvN1pgfB524rRO3eZ4WuyBUJ6pA1HnIOLUYG4d1QMfG3dCu72y47T2JkwFBCPA9gbM+i+ExtDO6P9QAj7qMxofzz8JfFX0NaSmx6fI04ZKJ5ek1a9YYzT9ZXUUBm6FQKxK1GbOQuW5+hiBUJ6pA1ImI3vUD5vRoiZbN3sOrE7zhk2BHoRJScXE+inJP4djUAfjo0Xqo/8jHeHfqSZzNZ9T7crSFZZmazUA5yEFFItTiN6eKuNIxQaguXGdRsywcAv9lozCuVVO4PD8G/ZeHIKTcUF9+ODvzfQyv0wgNnxqNDxaeR4C21GVo8VHUTIIgXOI6i1qpN/cYDk19DwNdmqFJ7x/x2Z4ExF4UtXKbMw7B6+s+eLueK+q9NAmfbbchTpvpMjE7JkEQLnGdRZ0JRG/Dpi97o3Pj59Duo8Vw+y3HNCZ1BkqitmPziO7oXLcl6r+7EBN8kpFRVCpclqd1eVcELQgVc31FXZSI/DPumPtBVzR/6lX0+Ho7tkUVI6/sMEqSURywEgsHt4dr/WfQaPhqzDyViVxD1MrdLotMi6AFoXKuq6hLsoMQt300Pu/SEk/Wfxf9Zx7G0Sy2BC+jMAZ5J2bh+z6uePCJ1mg8agMWnsuDvVhELQjXynUVdVHqKfh6DMRHrVqgoesX+GzlBQQq1/uiPO3hyPCeiHG9XPFwg054brwn1gUXoaBM1LoOWYtahC0Il3N9RZ0dgSiflVg/fTamzd6HPeeScWlYfEVBMnKCf4bn0hn4YepieOwPwvkUJWZDyJdak4moBaFyrm+ZmkIsKkRhARt5FMMwwOVQx4uLUGQ0AlFLdUKxuoZC1sksaBG1IFzO9RX1/xGKt1gJ3FHQjkkQhGok6mtJgiBUE1ELgnDtiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwVIA/wtn08wuP19w4wAAAABJRU5ErkJggg==)
In the given figure, two triangles are similar, then it satisfies
![](data:image/png;base64,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)
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/wg8DreA8+w4x+rkY/U7g6NTpQpjOmY4ZioMfNzQ0tW7Y0qluWLFliZEDiKGrew3y9vq+VEn8TfzffgVnUGh5jAx3GHXr37m0EF2+66Sbcd999RnT7q6++Mlzx+Pj4sitK3xvdbYra/C55L/1M835tyYWrU2NFrTOKzjhErzOS++2336J58+Z44403sG/fPmM/MWc2LpkJzRnRqvC38Tc6Cov7Q0NDjY8gPRta5//5n/9B7dq1jbrn+fPnw9fXt1xATL977SHpffSatOXW6HN5npXf7/9LaqyomaGYiXRG4ZLbhFU1o0ePRosWLYxWUCwjOsLzmdF4H21FmLjfiqkyGN2eOXMmWrVqhT//+c+45ZZbjHUWWXbs2GHUIpgxi1nfl+9Nv0v+H+hjej+vudLfIJSnxotaC5FLupdcp+VhFcxzzz1nWBrWozrC880ZlNtWTI5i4j5GqBndZtttBsTYeoyudoMGDdCnTx8sWLAA/v7+5VxrwnW+c74zDffx/el3qDHvZ3L8O4TKqdHut84sOvNySTdxz549ePHFF436VB8fn4vlaTP6fH2tMyb+PrPrqpP5b+Y6j+slz2fSv80MYw2sW96yZYvRHp61A/Rm2Nrurbfewrx584wOGwwq8l6O6Oc53lf/LY7o/RUdEyqnxoraDDOZzji00mzmSBeS9dR0L6sb/C38TWaBariuRUx4rj5P7zefz/2sUz527Jhhgdmx5YUXXsCTTz6JRx991ChHf/3110YvKxZbhKpHRO0AM+c777xjWJ9///vf5RpJVBcoSrNQ9QeLS22NtSXVojYXRTSs2mOQa/Xq1cYHju4128EzGNawYUOjiMKqP1ZT8R6E15s/CsL1p8aL2pyJmTGZgdu3b2+4ldOnTzfad1c3tLC4NP8+R7Fz27zUSYuS1VSsBeD7YPt33SqM299//z0OHz582fvhtfp6oWqo0aJm5tMWhjCDsmcRe2bRrVyxYoXRQcEqmMWrxcd1LXQzDHSxZxWr9VjnfOuttxptt2md2cwzLCys7MzSj4iOWgtVT40WNTMhM6NeZ0Zm90rdAoqjcDCCawW01TZbbg3fAX+nFjmbcbIL5dNPP21Ete+//36jzTa7m3p7exu1AWYB649CRfcWrj81WtTMhDpzMlNTxIx6s2fWwIEDjaF2zJm3umAWMJMWK5dXgt1NDx06ZIjX1dUVt912Gxo1amR86DZv3oygoKDLGpE4VulR3Nzmc4WqQQJlZbB/MOukmYlZfuTQOsHBwdUyczoKWltSs6jN6xRmREQE1q1bZ7jXfAd33nmn0buKwUKOAEMxm68hFC+v5X4mrtPqi9WuWpxK1P9tNuD1FaVrgS2fOALH3XffbbicDATpThzVDS0yJgpPi9osNG5ThBycgD3QGBRkryoOYMDoNi01RzZh9FsXURzRHw4tbl2uFkFXLVUkavWfXpCPpPgsHPFNwfLjSRj3ayLGHk3B/PMZ8InPR2L5uI0DxbBn5sI/IBVL1LX/PpqEL44kYZS6x4jDiRiu0oiDSfjyRDq2xxcgoQKvkxnenPnYf5oNKBgUYpmadbLVtTytxcakhc2lI3Fxcdi0aZNR90yrzN9eq1Yto7qKUW82NDFT2f24zo+ECNo5qBpRqy96UlQK1h2MxHsrg9F4biDunOWPv7gFoc4KG/rtT8UyWz5iClTGLLukPEXIjE3FT1tD0c7ND7VmB+IPcwJx27wg3DE/CHeq5V9nBuOh5dH40jcXfqpY7Hgfc8ZkfSxbST3//PNGxmbDk61btxrHnAmzWCsTD/fzd+njjufRMrOBDVt+sSskA4LsfMFg2COPPGJUV3333Xc4c+aM8Y4c4T5HAXNZ0bpQNVSBqEuQn5QBb28bei0PwF1KjLfODYarRxDaeKjtuUH4m7sNz+9NxdbkQlwKy5gpQkZMCjZsVtfNuIBaMwLwpwWhaLM6Am9sjMDbmyLQa40NA3ckYFGoHSEqbzraKXOm9PPzwxdffGFY6H/84x/GoAjM9M4E/1aK1TFpEenj/F26XOsIA2EMBrIF2KuvvmpEt2mVOXgBA4McPJHHWV2lm8ZWJmC9LTgf11nUzAjKHQ5KwIyl/vjbxPOoNTcc9Xcmwu10ElYdtOGlRYG46YdA3LEiFt8qQUZXGHwutdSbtykhz/HFjQtD4bojEdPPZOBoaCZOhGXiUHAmjkfkICijCGlK0Y5ZkAIgFAAju6yX5iiXLEvOnTu3wk4cVY0WMkWmhcZk3sd1ClH/PsJ1lo35u2iZOaKnbuLJ4YaWLl1qNCRxjCHoe+r7CtWDKhB1PmxBSoCrQ9BEWeV6WxLwVZAdNrsqR0ckYqba/9gP/rhzWRQ+vpCHcxUWa8tEvTUErWb54uYlEejok4VdSQ7SVZvc4yhoMyxXspEFMzkbWLD/NGeTcLbytNk6UmBaZNxH0WmLaobn0N1m9JpdIdn0lZ4Iy88sR/Njpq2yo2j1ffVHw/G44LxUgfutLGdKDk74pmHtmVSsC8vF+Wxm1iLkxqdg+doQNJrohzuWRuLd33Jx/NJYfyYuF3WXX7Ox73cO9smILSO/bNd8xx13GGNRswrHPHSRFlJVwr/B7AY7/k1aeOb9PJ/DC9EKv/3228YY24xqs4UY66FZZnYcHZXvg9cR3o/bTI73FpybKgmUFasMUlSkMkq5Wd8LkRWThLnKUj/+nR9uXxKJIcpMn7kWS73Uhi5HsuGVpm7GzFfEjF926hWgFdu2bZvRWooNLThbBAeeN5cnnSEzU1T0HHR/b72PgqvIOvOjxIET+YHikEz0QJhYhuaQQ45FC/5OFkMYMOQ99UfCLGqh+lAloi6PEqASd35eDi5ciMWIZcH4+49BeGBNHL4LVa56hfnpckvd/mC6YfXDYrJwypaNwzF2BGcVI/sK+ZGBI3byZ2MLlqdZxvzpp58uWitnFLWGfxsbhJj3cZ3WmWNqs3qOY2xzFE8Kmq43JydgqzDzb+JHQf9OnQifyWMi6OpHFYu6BPZsjkKZgp8OR2P4plDUZ5WUuw3dlS/tmaJc8rIzy1Mq6p8YKHPzw80LlMu+PhJvbInCW5tU+XqjDR22xmPwkQzsTawsgl7ad5rDFXEYW5Y1+/fvbzST1NbPWUTNv4F/i/67uM11s6Wm18GIPRvNcMQWFico6Lvuusvo/8zINqP8WqS0yrxGW2ZHuM8Zfrvw+6liUavydVwqtm4PRe85frh1Kuucg/HA+niMO5OLkLzKMtWlKq2mM3xRa1Yg7lkcho7rbei2NhT13ANw89RA/GVpNEacy4FfvrI8ZVdqKAZGfDk4HsfW4lDAHM3D3DSUAnC2jF2R2GihOYgBq+VYdv7DH/5gDP7H8jMn+OMMGQyI8cNAeD0FzZFM+B647fiR0Djb7xeuTpWLOj0mFZu2haD9XH/cMDMAteaGoO76WHx9OhvnlftcsfNXaqm3bA9BOzd/3LggDI22J2F2YCaOhiZj4Y4wPD3dF3+cH4Y2B9KxIVG5rw43YpCIbiqHAGbH/2effdboS+3Y1dKZMnVFfwuFevbsWaMFGGfn5MB/bLtO68xGJBQ7xastNEXLa7Tl14LWlptuvn4Ol874YROuTJW73wXK/Q4ISsXyU/EYtduGzouD8aQSYyfPRCyw5SPq0hh1JkqQl6nK4L5JcD8cjy+OpmJOsB2hBSrz5aty9fFIDPTwxY3zgnHn1mR8E1qI9PIGyBitg22bOU8Wy5yvvfaaUZVlLkMyMztzhqZYWV315ZdfGo1IKGi2Dvvggw+MEUnYzFNbZ8LfQgFrMRMtclppClq740x8FyLq6ocTBMo0+UiISIT7+hA0mOyHPy+JxJsnc+BTyRgFzGiFhUXIL2AqhvpXSm4eIs9EYfgq5corUddan4iP/fOR5NDAigJmKyqWpdmJgZ05HDv+/7eZmtdd6dqrHa8IjuTJ6DXLz8uXL8dHH31kBMEeeughY84vPSKJed4vPoPi1R8s/VxuU9B6v5n/9rcLVcf1F7XKJPkFhcjMKURaViGy8lXmKj2A4uQ07NoRimdUOfmGheFo552JrUkqAxrHrxGVmW2/ReJTLep1iRiqCtWloi69EzM8629Z5uTwPHS96YrrgfN0htZWjMvfixaNozDMguJ9tdj0fn2MSzOMdDOwxylh6WEwFsDqKrYOa926tdHnme3VKXjHhjP6vo7o/Vc6JlQ/rrOoVSYptCM8Mg0rDiXgy32JmOWbg/O6Z196Brw8w9Bxpi9uWqjKw16Z2JyoMlfZ4Uso9zs3H7bILBwNSMcvYdk4nlIEY7SsvGzEno7CsOV+hvt968ZEfBGQjzRDl6XD7nDsrU8++cQoe9JKs+/0hQsXjGNEi1kniuz3YBaLozi0mOnmMsDFZ2oRc+kYrOIHiH8vrTLnyOa8zhzJk50vKGpG7Nn8k41ozNVbQs3lOotaiaMgG6dORePdeYG47cdAPLIpAVMjVNk5Jx+xEcnw2KDc7yl+uHmRDT2PZeNQusroKuMnJ+fieGQuTiQVIFFl+syUTPgcjMRnq0PQZVM0Bh7JxK6kfKQmpeOYt7rW3Q83zA3B4zuTMM9WgNwyXdEar1mzxqj2YdSbbb05EyPLpxqKimKjoM2CvBa0OCu6jvv0B0OLWpdhiX6u3ub0PxzdlFFtehX8e9lI5rHHHjOas7KhDLuMMuinr6ns2ULN4fpb6uJcBJ+PxecLAnD7D76otTACnfYkwO1IAub9HIFXPAJxy6RA3LkyFv8JsiNBCSAzMRWbDkTh5bUx6OqVgY2phcjPyMIJ73D09PDDTW4h+NvqGAz1ScDyX6PxxboQPDLVHze7h+Plw8qSqw+DtrUMkE2YMMHokcVmk+ytxMH7KQaihedoMa8VXl+ZqPS9+Sxz0sfM11LcLBvTreaEc6ymoqhpnT///HP8/PPPRrt1899YUqIFLaKuyVRBoExZ2bh07Nlvw5vLAnGfWwDudQtC/fmBaDgvAA/ND8bjK6LR91Am9hs+s7LSEXH4aqk/an0diForkjA+ShWQVaaPD03ABFUGb6iu/cusQDzsHoQm6qNQf24gHlKCfnZHItzD8xBtCpLRzWZ0+G9/+5vRh3jkyJGGtdNW2VFwZqFdC1c6/1rvxTLxiRMnDAtNQXPgAnY46devnzELBt1xfnTMlBTzR4qYhSoRtcp6SpCJ0SnYwlZk68Pw/OIQPLhQWddl4ei+LRbfnc6EV7ISv2HEVHk4JglztoSh7rwIPLI9FXNjSzNwcV4u/AKSsGC3Df1XhaLBohA8sDgUrdZFYohXCpaF5iEiTwmJtymD1u+VV14xGmewGojNRKOiogyRUMTa8lF8epvL/4bKxOy4j8/i5AF0uRmN55C8HCuMRQS246Z1ZrCsfNlZ3UNZ6OJCTjVbhLTcIsSrlJhXjOyCEhSKzmscVSJqIyMWFiA1NRcXbJnYG5SB5f4ZWBmchQPReQjPKsKlxmTFyM+xIyAyC1sDs7E5Kh8BOfqgysyqLJ4Qr8rpYZnYGJCBpSpti8jBmeQCJNjL52iKZvv27Wjbtq0xwglHOmGHDja8cLTK3KbQ6QabXdzfA+/F++h7Xwk2/GDPqcWLF+PNN980LDSbeLI9Oj88PMaGMeYPTCGtdYn6GCnLHm1Lx97j8fjm51j03h2HAQeUl3IuE0eSCpBs8lQE61NFor5elBcSg2EUDfsTsyqL7ixnbqwICpmC/r+KmiLmdUxmUZuFTrhk2ZgjjtDdZgs3NiK5+eabjXpnDjnkOM424XWF+XaUZGchKDgRs/ZGoP/KEDzrEYxHVPHj7nlBaLQqEn290rAqSgn7//ZdEqoh1hZ1scrJJgvJ6Vc5+R1bkbEHE11aDo1bEWZRXs3KVoQhOlVO16I2w30sNzNqzU4WrK5iQxi2P6egmehN0EKbG8Q4UlKUj4zwRCzeGQLXRcGouzoKH+yJxYQdEei9LBB3uAXjrx7ReOdIJk47FEME62IpUVN8WoBaVHqbQmK3Q1rDBx54wJjsjaIxT4DHa8wCNN/v98Br+Dy675VVi9FroHVmJJvVa4zEMyDGunMO1cvRTClo87X820o/Etyn/rbCPPifjMZQd3/8eVYYmu1NwaaobIRHpWCjTyR6rgxDyyWR+OhQGrwziyvp8SZYDUuLmgLQ23Sj2bnh/fffN0TNmTh2795tNO5wvIZLs5iuFX0Nl1rUXJphPfm5c+eMebo4uyaDdfQa2MyTAwAyGs+WYZxC1/EDw21+JEr3qw9QbiZ+OWDDi9MC8efZkXj9hHLFjcq7AqQlZsLrTArWH0vFrpAc+OcUV9oFVbAWlhO1WZBc6nVGjDkAQvfu3Q0r/dVXXxnuuBYx0ddzn1nc5qQxb3Opr3Pcp8/jMdaRb9iwwfiwNG3a1HC3ORxx3759jaafnp6ehjdBt5wfIX2tmdJ9XCtEYVoa1u8JR4vJQbhlThT6nc5BqHGWQj07P68I2Tkq2Ut7qUmxumZgWUut0dtsO82hfNh4g8LmIPb6mPkarjuKWu/ntlmoGi1oLh3heSy3s4EL+2uzmSfFzL+DfZ09PDyMKiwKnvcwo+/LZH6eQUkB7AlJWOAZitpTgnGjWzTeO5WF4EIl4uwCJGcUIlui3jUSSwbKtOh0IpymlsPh0kJyyQYnFcHzHQVN9H59TGPe7whdez5n9uzZRss1Nu/ktD7dunUzOpTQKtMiVwbvTXf7ksttoigfudEJmLI9BPdMD8Yf3Gx4+ZckLAtIwZJTiZh2OBnuF7JwMLEQiZVOiiBYEcuJmkLQFs4sSjYw4SD9bEPNVlkVzZPF8/X1Zritk/meXNeC1vv1eZxwj+708OHDjQnsOQYaG5Jw8AIKmsfNsPzNpO/DpXmf3n+RQjuybfEYvzUEd8wMQq05wXh0aRieWR2KestC8KBHCJ5YHYmX96dheWQBUi93IgSLYskytaPQuGRwigPZs+6XYjNbSC0anRypTHCsltJlXw07YbDumx8OWmeOf8aoNgdi6NixI5YsWYL4+Piys0s/AryH+V5M/Pu5TStdIQVK1BHxGKdEfduMANSaFYRHViprvTMafXdGoN2yQNw+IxC3uEeh75Eso0qrwvEmBMthSVEzmYVGwbBMy/Iso96cd1qjz3e8RouLicIyW0wKjmV0utfcT7iP3sDOnTuNCDabdrIDBuucGd3mB4WCNg/Pq59LzM/jPj6T99THL8Mk6lumUtRh6OyVhp3J+UhISccu7wh0mR2IP04JRVPPFKxNLkL65d8rwYJY0v1mMhMbG2vU+3IwBLYi47S1hILRVths2YkWl17qdZ7H82lFtaC5zqGD2BWS1pkiZhdJutwclWTs2LH45ZdfLlpo3kuPsW3G8VnEcfsiF0UdjD9ODVTudyT6ndTR7zyEn4nBsHmBuIPdW39KwDRbQbmOLYJ1sWSgzBFaZg4FzBFCRowYcdFaUiwUJNOVRK3hOs9jMkNBT5kyxbg/m3eymyTHCmNVFYXOnmG8l4bVa/Qe9H30c8zP1Os6XcbFMnUwbp2qytRuUXj3dA5K28flI+xcHMbND8S9k/3xwKY4fBNcgLDKY3KChbCc+81khoKgS9y7d28jYMVRNzmIv6YyN7dSMTnA6io3NzdD0Cw30zqzuoofD7YYY9Td/BHg85h4by3cyp6vz3X8TQbF+ciNURZ4RwjumVIq6gFK1OHGQYo6Fl8oUd8zKQAPbY7H96EFiJBCdY3AUqKmOBxFwH1svUXRcdqZWbNmGULT6A+Bo3B4nVmMjvAYLTSbmrKdNi00q6s4dhij26zKYplbQ1ebf5v+G7mt92mBE/OS59Kqa0+iHCXqHskpWL4rDC6TA3HT7Ei8dSoHpS3F7Qg/G4uRyv3mbCe1tybCTfne8Vf/RgkWwFKipkAoAG31KAy62pyPmQ0+OKE6h85lN8eK4Pk6OVpOQoGxfE7BsmUY+zyz+yZHUWFV2ejRow3rzAi4hvfi38RrKUxuc2l2+83wuIbrFL6+tjzKk8jJxMGDNvSYEYCbZoah5b5UbE3IQ3RSGnZ4RaDj7ADUmhIG191qf2oxKpxrULAclhK1dlm1MGgpWX3Fxh6sWmKQjEPr6gCVo4WkcJgcBU1RsUmpt7e3YenZo4rWmSN5MhDGbY5GygEMGABzhPd2fJY5XQkeN19bjiI7bOdVeXlVEO6ZG4S7VkSi3+5YTNpjw8BVgbhrTjBu8IhBn2PZOJ+n7lN2mWBtLFmmpgiY2PSS42BzwAFOU8seWhSnFoj5A8Cldof1PlpS9pRim3EOmN+jRw+jAwaHFqKYGQjjHFU+Pj6XTQt7fSiGnQMwHo/GkLXBqO8WgPtmBuDeWf7419xA1FkVhdd80rEuthAZougag6VEraGgKUjOXkHrzGl1KGyWf82WlFaZAmbiNWZB0zrTzaZoO3XqZHwUOAQSLX7Xrl2NaDd7fZmn6dHXXldU2To7JQtHT8Vj4nYbuq+NgMtaGzruiMP3JzPgk1iINBF0jcJyllovaTnZaYN10zfeeKNhWTdu3FjuHJ20ZTfj7+9vzEXFccIY1aagOfkce1hxwrnw8HDjw2GmovtcF9Qz7dkFiE3Ow5n4PBxW6XRyPmKyi2AXQdc4LCVqbXkJW3fRyrK+mK26ONgge0NptAArEiFnvpw+fbrR+YN1zrTOvJ7dI1muNgfC+ExaeF0W188XhKrCUqJmmViLlAP1cZ4pDt7H+bI4Iwdnh9Q4CprrjIpzpotJkyYZgTC63AyGcextDljIKizHaiq66RVFsQWhqrCspWbVEsu+dJvr1auHqVOnVjoeGS0trTPd9SFDhhhuNidtp8vOPtCcTI/W2SxcrlPUXDJpKy2WWqhqLFmmpjVlW29GqlkeZqCLgjU3OtFQrAyoTZ482aj6opjpcnN0FJapOTAgRW+Gz+E+s6XXghZRC1WNpURNKCpWQ3FAP5aFORPH4MGDjRkvzOJk22ueR7HTNWdAjJ0wOB44hxBmgxW68I6CNiMiFpwRy4maImQDE1ZlUaScWmf8+PFG4ExDIbKTB4cL5sidbN7JPs/sKsmRPbmf5W9zdJvX8N5MWsjaBTe73vqYIFQVVShq5brmJSAx9DR+9foZu7Zvh+e27dixbRu2G2knPD0P4MDxQPjFZiPz4vwxankF4XDo3WXLlhnlYYqaIt2yZYshRga16E6ziefQoUONpp2cEpYjeXJ90KBBRsswDjOkLbQWKYVLAZuDcY6i1ktBqEqqTtQlOUCkJ/bMHoKe7duiSSNXtGnVBm1bt0G71q3QunkLtG7WAR3fGIcxS47icHQ2OINUcYkSVJmoiFlEXGfAi1Fvlo3vu+8+o7cUJ5RjeZrVURzAgLNgcI5nCrlXr16Gq003nOexjG0WLZN+BpeOzzNvC4IzUHWiLkqF/Tc3eHzUFnXvrY37a7dFx5598cabb6F/v9fxWrdn8FydR1D7/lZo8/oUTPs5DKFK1YUUEYVdhhYg4ZjamzdvNgJjLEuzZ9bEiRON6ihOzP7WW28ZwTMXFxdjvDL2debgBfwQmKuqNI6iFoTqQNWJ2h6FxL1fY/Kb7dC0UR/0GLEASw8cgfeRozh50gcHd3pg+ehX0LNeXTRo/A4Gux+FTxpQYOjrksgoOg3rkdlfmq43XWpOLkc3mx0uGAhj4IxCZ3twlqnpOleEtsBMImqhulFloi7OugD/pR/gsw7PoOkz4zBy6W/wz7UjL5/DBKllqh9sWz/HmK7N0cClD/rNPIj9yUD+FUTNqimKmK41G46wuyX7ULNVGS03hU3LTctsFnRF4uW2CFqojlSRqAtRkOgN769eRb+mqjz92gJMOpBYvr9viQ0pu8biiy6t0bDJEHzocQInVDG8rNOkITYmc/mX3Sw5SAGtNINkTJyjigLnQIATJkwwAmW8hoEwRrd1RJtJC1gfF1EL1ZEqEnUmckI3Y8O7L6CbSxe0+XwXVgRfKhsricIevgu/fP0q3nBtj9avzMb0XyLBSiklMyX4y6uQ2FuKZWQOWcQgGdt7c7paDmDAEUTZuIRjhVGorKNmlJwjgprL5LwXj9OKc8ljTCJsoTpRRaKOQ/qpBZjZsy2ece2Nl2Ycxa64skMk6xwurPsK4zq1Q/tnP8B7c47hYJQdrDUuKVGyLhOaFhuXHCGUI4+wzpktwihsRrfZbpvBM/at1i63Fi6tsRnuY7UXl1rMImqhulE1os4PQuwvEzDmpeao80RLtHhzLEZOnA/3efPgPt8N8374Al8NGYT3+n+BMbN2wzM4s3TSdAq5+PJ21uwjfeDAAcMiU9AUNgc0YJ/nw4cPG1ZZw2s1vF5bZK5T5NpKa/dbRC1UN6pG1MnH4L/2Ewzs9BTu+9djqF3XRZV5m6OFa2M0d2mA+g83wlOt3sE7U/ZiW1AOcrSmlMC00MzExcVh8eLFxuwbdLdZXcXRStjnWVtnjf4YaEFri23ez8TyNhPXBaE6UQWiLkFB+E74THsNvVo+jTouL6JH/w8xdNRnGPnJ+xj6dmd0algbdR5rj5aDV2DukVRVAi9DiZBCdBSar6+vUZXFpqFsErpv3z6jztqMdqvN1pgfB524rRO3eZ4WuyBUJ6pA1HnIOLUYG4d1QMfG3dCu72y47T2JkwFBCPA9gbM+i+ExtDO6P9QAj7qMxofzz8JfFX0NaSmx6fI04ZKJ5ek1a9YYzT9ZXUUBm6FQKxK1GbOQuW5+hiBUJ6pA1ImI3vUD5vRoiZbN3sOrE7zhk2BHoRJScXE+inJP4djUAfjo0Xqo/8jHeHfqSZzNZ9T7crSFZZmazUA5yEFFItTiN6eKuNIxQaguXGdRsywcAv9lozCuVVO4PD8G/ZeHIKTcUF9+ODvzfQyv0wgNnxqNDxaeR4C21GVo8VHUTIIgXOI6i1qpN/cYDk19DwNdmqFJ7x/x2Z4ExF4UtXKbMw7B6+s+eLueK+q9NAmfbbchTpvpMjE7JkEQLnGdRZ0JRG/Dpi97o3Pj59Duo8Vw+y3HNCZ1BkqitmPziO7oXLcl6r+7EBN8kpFRVCpclqd1eVcELQgVc31FXZSI/DPumPtBVzR/6lX0+Ho7tkUVI6/sMEqSURywEgsHt4dr/WfQaPhqzDyViVxD1MrdLotMi6AFoXKuq6hLsoMQt300Pu/SEk/Wfxf9Zx7G0Sy2BC+jMAZ5J2bh+z6uePCJ1mg8agMWnsuDvVhELQjXynUVdVHqKfh6DMRHrVqgoesX+GzlBQQq1/uiPO3hyPCeiHG9XPFwg054brwn1gUXoaBM1LoOWYtahC0Il3N9RZ0dgSiflVg/fTamzd6HPeeScWlYfEVBMnKCf4bn0hn4YepieOwPwvkUJWZDyJdak4moBaFyrm+ZmkIsKkRhARt5FMMwwOVQx4uLUGQ0AlFLdUKxuoZC1sksaBG1IFzO9RX1/xGKt1gJ3FHQjkkQhGok6mtJgiBUE1ELgnDtiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwWKIqAXBYoioBcFiiKgFwVIA/wtn08wuP19w4wAAAABJRU5ErkJggg==)
MathematicsGrade9
Mathematics
In the given figure, two triangles are similar
and
, then it satisfies
![](data:image/png;base64,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)
and
, given; therefore, SAS similarity criteria
In the given figure, two triangles are similar
and
, then it satisfies
![](data:image/png;base64,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)
MathematicsGrade9
and
, given; therefore, SAS similarity criteria
Mathematics
In the given figure, two triangles are similar as they satisfy
![](data:image/png;base64,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)
and
, then by SAS similarity criteria
In the given figure, two triangles are similar as they satisfy
![](data:image/png;base64,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)
MathematicsGrade9
and
, then by SAS similarity criteria