Question
![](data:image/png;base64,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)
if AD is the altitude, which of the following is true?
- AD ⊥ BC
- AD = BC
- AD =
BC - BD = DC
Hint:
Altitude is always perpendicular to the base of the triangle.
The correct answer is: AD ⊥ BC
STEP BY STEP SOLUTION
In the given figure AD is the altitude of the triangle ABC
So, AD will always be perpendicular to base of triangle (i.e AC)
Hence, AD
AC
Related Questions to study
If ABC is an isosceles triangle:
Find ∠CAD
![](data:image/png;base64,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)
If ABC is an isosceles triangle:
Find ∠CAD
![](data:image/png;base64,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)
If ABC is an isosceles triangle:
Find DC![](data:image/png;base64,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)
If ABC is an isosceles triangle:
Find DC![](data:image/png;base64,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)
Given ΔABC is an isosceles triangle.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPAAAADSCAYAAAB0MU2vAAAHYElEQVR4nO3cPXLbRhjG8ReZHEVUpROAJyDdqHKbDiyjJjdI54YqgyO4UmPyBMEJXJm8y6YgN/qixC8Au8+7/9+MZmTJHmMG/vNZkZKrEEIwAJJ+S30BAC5HwIAwAgaEETAgjIABYQTs1PZxalVVWVVVtlinvhoMhYBdWtu3h+7/X7VPFOwVAXu0frLWzOrlypa1mbVPRsI+EbBD66fWzGr7+mVmt3dmZq0xwj4RsDtr2/X71b7cmM3uGzPjGO0VAXsTj89fv9iNmdns3hozs/Zve9wmvTIMoOJ7oX1ZLyqbt4c/Vy839u+fN+NeEAbFAruyPz5/oPv+wxhhXwjYk/3x2ZqVhRBevK12x+juu/2gYFcI2JH1fn6b+9mbz8xs91xWZ98p2BW+BgaEscCAMAIGhBEwIIyAAWEEDAgjYEAYATsVf5gfvhGwYyEEInaOgAFhBOzQy9VlhX0jYGeqqrK33x1LxH4RMCCMgB05tL4RK+wTATvxWbwREftDwIAwAnbglPWNWGFfCFjcOfFGROwHAQPCCFjYJesbscI+ELCoa+KNiFgfAQPCCFhQH+sbscLaCBgQRsBi+lzfiBXWRcBChog3ImJNBAwII2ARQ65vxArrIWABY8QbEbEWAgaEEXDmxlzfiBXWQcAZSxFvRMQaCBgQRsCZSrm+ESucPwLOUA7xRkScNwIGhBFwZnJa34gVzhcBZyTHeCMizhMBA8IIOBM5r2/ECueHgDOgEG9ExHkhYEAYASemtL4RK5wPAk5IMd6IiPNAwIAwAk5EeX0jVjg9Ak7AQ7wREadFwIAwAh6Zp/WNWOF0CHhEHuONiDgNAgaEEfBIPK9vxAqPj4BHUEK8ERGPi4ABYQQ8sJLWN2KFx0PAgDACHlCJ6xuxwuMg4IGUHG9ExMMjYEAYAQ+A9X3GCg+LgHtGvO8R8XAIGBBGwD1ifT/GCg+DgHtCvMcRcf8IGBBGwD1gfU/HCveLgK9EvOcj4v4QMCCMgK/A+l6OFe4HAV+IeK9HxNcjYEAYAV+A9e0PK3wdAj4T8faPiC9HwIAwAj4D6zscVvgyBHwi4h0eEZ+PgAFhBHwC1nc8rPB5CPgI4h0fEZ+OgAFhBPwJ1jcdVvg0BPwB4k2PiI8jYEAYAR/A+uaDFf4cAb9BvPkh4o8RMCCMgF9gffPFCh9GwIAwAt5jffPHCr9HwEa8Soj4NQIGhBUfMOurhxV+VnTAxKuLiHeKDhhQV2zArK8+VrjQgInXj9IjLjJgwIviAmZ9/Sl5hYsKmHj9KjXiogIGvCkmYNbXvxJXuIiAibccpUVcRMCAV+4DZn3LU9IKuw6YeMtVSsSuAwa8cxsw64sSVthlwMSLyHvELgMGSuEuYNYXb3leYVcBEy8+4jViVwEDpXETMOuLYzyusIuAiRen8haxi4CBUskHzPriXJ5WWDpg4sWlvEQsHTBQOtmAWV9cy8MKywYMQDRg1hd9UV9huYCJF31TjlguYADPpAJmfTEU1RWWCZh4MTTFiGUCBvCeRMCsL8aitsLZB0y8GJtSxNkHDOBjWQfM+iIVlRXONmDiRWoKEWcbMIDjsgyY9UUucl/h7AImXuQm54izCxjA6bIKmPVFrnJd4WwCJl7kLseIswkYwPmyCJj1hYrcVjh5wMQLNTlFnDxgAJdLGjDrC1W5rHCygIkX6nKImCM0ICxJwKwvvEi9wqMHTLzwJmXEHKEBYaMGzPrCq1QrPFrAxAvvUkTMERoQNkrArC9KMfYKs8CAsMEDZn1RmjFXeNCAiRelGitijtCAsMECZn1RujFWeJCAiRfYGTpijtCAsN4DZn2B14Zc4V4DJl7gsKEi5ggNCOstYNYX+NwQK9xLwMQLnKbviDlCA8KuDpj1Bc7T5wpfFTDxApfpK2KO0ICwKlw4oan/Q2vAi2tOsb+n+EsB9IMjNCCMgAFhBAwII2BA2AcBb+1xWllVvXyb2nSxtu241wfgE2cscGddO7fJYj3c1aAHhx58K5tOF7be8vArY7u2xXT6fA+nC3s8cPuOBFzbchMshGCbZbP70M9frLCgrmttPpkYj78C1gurJnNru+75Y11rD5OFvb19538NfHdrN9ddHkbx/OAbwsZWTW1mZu38/T8C5GRti3m7e7dZ2SbsB3S1tP0tfC0ctAnL2oLZm7d6GTaH/wCyEe9dHZabQx+30KxSXRuOWjX73ppwym06b4G7B5tMHzlCS7qx27vdez9/cQdztf31c/dOc2+zE37/yV8Dh7CxZW1m3YN94wwGZIHXgYuxtfjgfnfLsxi5uonHpPbppOcqjgTc2cMkvhQxsYfOzKyx+1O2HRnZ2nrxB/dPwezedq/3tDZ/+X0X27Utplc+C103S1tt/jnpbI7UXj/4ztvdSxLNivuXt5n9tdw/3dzObRJfB57Mre0O/Pahn1TD2A69glCHum7CipcQZGxWTahf3se6CcsDN/DiH+gHkB5PYgHCCBgQRsCAMAIGhBEwIIyAAWEEDAgjYEAYAQPC/gMxZnYoEJSUJgAAAABJRU5ErkJggg==)
∆ABD ≅
![display style approximately equal to space](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAALCAYAAACQy8Z9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAExJREFUeNpjYMAEiUB8H4i/AfFeIHbBooaHgURwEojtgZgDiB2BeAMQr4MazgGVO0Oqodhc4QbE+4H4DxA/hPpm4MF/IvGoS0cBFgAAWFkehbPjh1sAAACwdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCIgY2xhc3M9IlNDWFcxMzIyNjY3NTkgQkNYOCI+PG1vIGNsYXNzPSJTQ1hXMTMyMjY2NzU5IEJDWDgiPiYjeDIyNDU7PC9tbz48bW8gY2xhc3M9IlNDWFcxMzIyNjY3NTkgQkNYOCI+JiN4QTA7PC9tbz48L21hdGg+8rotlQAAAABJRU5ErkJggg==)
Given ΔABC is an isosceles triangle.
![](data:image/png;base64,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)
∆ABD ≅
![display style approximately equal to space](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAALCAYAAACQy8Z9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAExJREFUeNpjYMAEiUB8H4i/AfFeIHbBooaHgURwEojtgZgDiB2BeAMQr4MazgGVO0Oqodhc4QbE+4H4DxA/hPpm4MF/IvGoS0cBFgAAWFkehbPjh1sAAACwdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCIgY2xhc3M9IlNDWFcxMzIyNjY3NTkgQkNYOCI+PG1vIGNsYXNzPSJTQ1hXMTMyMjY2NzU5IEJDWDgiPiYjeDIyNDU7PC9tbz48bW8gY2xhc3M9IlNDWFcxMzIyNjY3NTkgQkNYOCI+JiN4QTA7PC9tbz48L21hdGg+8rotlQAAAABJRU5ErkJggg==)
In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG
![](data:image/png;base64,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)
In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG
![](data:image/png;base64,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)
Given a triangle ABC with ‘G’ as centroid.
Find BF
![](data:image/png;base64,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)
AF = BF
AF = 6
BF = 6
Given a triangle ABC with ‘G’ as centroid.
Find BF
![](data:image/png;base64,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)
AF = BF
AF = 6
BF = 6
Given a triangle ABC with ‘G’ as centroid.
Find BE.
![](data:image/png;base64,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)
Given a triangle ABC with ‘G’ as centroid.
Find BE.
![](data:image/png;base64,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)
Given a triangle ABC with ‘G’ as centroid.
Find AB
![](data:image/png;base64,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)
Follow the below steps to find the length of AB:
AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12
Given a triangle ABC with ‘G’ as centroid.
Find AB
![](data:image/png;base64,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)
Follow the below steps to find the length of AB:
AF + FB = AB
AF + AF = AB
2AF = AB
AF = 1/2 AB
AB = 2 AF
AB = 12
Given a triangle ABC with ‘G’ as centroid.
Find GE.
![](data:image/png;base64,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)
Given a triangle ABC with ‘G’ as centroid.
Find GE.
![](data:image/png;base64,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)
In the ∆QPR, what is the point of concurrency of medians?
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)
Centroid divides a median in the ratio 2:1
In the ∆QPR, what is the point of concurrency of medians?
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)
Centroid divides a median in the ratio 2:1
Choose an option that relates to AD, in the given figure.
![](data:image/png;base64,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)
Choose an option that relates to AD, in the given figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQYAAADZCAYAAADCKp5yAAAKVklEQVR4nO3du1bb6AKG4U97zaXYFLO4AukK8DRUadNJJW52N+Xu0ogSdWlT0US6gugKWCki3Yt2YQtsfmN80OE/vM9aWZPBGcbB8PqTbEPUdV0nANjxn7mvAAD7EAYABsIAwEAYABgIAwADYQBgIAwADIQBgIEwBKp9TBRFkaIoUlbNfW1gG8IQpErf1vXrvxXPlAH7CEOIqmcVkuK8VB5LKp5FGrCLMASoei4kxfryz51ubiWpEKMBuwhDcCptuvBF/yyku/tUEocT2EcYQtMfRnz5RwtJurtXKknF//TYznrNYJGIl12HpcoirYrDl8V5o18Pi2mvEKzEYgjK9jDiA/WPn2I0QCIMYdkeRigt1XXdzq9yczhR/9BPygARhqBU27mQ3t+9u+ROm3OQtX5QBohzDAAOYDEAMBAGAAbCAMBAGAAYCAMAA2EAYCAMgeq/SQtwCGEIWNd1xAEHEQYABsIQoN2VwGrAIYQhMFEU6f2z4IkD3iMMAAyEISCH1kKP1YBdhCEQx6LQIw7oEQYABsIQgFPWQo/VAIkweO+cKPSIAwgDAANh8Ngla6HHaggbYfDUNVHoEYdwEQYABsLgoSHWQo/VECbCAMBAGDwz5FrosRrCQxg8cloUWlVZ8vrnoyhSkjyq+uQHUBGHsPCTqDzyeRhaPSZLretDl6Uquye9/+F1571/+ILF4ImTvmjbn/pRS9r8CNvND7Rttj/QVoWeq+P/OashHITBAyffkze/tenC/dvbFv0PtD0NcQgDYQhR8fz2+7bS9odgA684x+C48477j5xjiHM1vx60GOX/C9ewGBx2/hfnQg/fS+VpvPO2WHFanhUFiUMK37EYHHbNvfYQ9/isBn+xGBxlwxclq8FfhMFBNkShRxz8RBgAGAiDY/bWQlspS6LXpzZHSbb/1Oa2UpYkH18+EFaDfzj56JD9Q4hKWbSS8RSE/mHH9lHJci3jkcnt5csRDkdsOsTBdVgMLotTlU2nruvU5NunL9a/1Ry6vOwv/6GfI6wG+OWvua8ATmPeG9/p6dfuS55eNv9I7zcvhFo86Nevt0sXy78VS6p1q5tznrBwhv6QgtXgPsLggA+/2KpM0WrnYCLO1Twdfn1k9W1zWBHn/z36CsprEQc/cCjhk3qtr5n5Esn2MdGqkJSW+v4w0lyAVwiD5Y7e+949bV463XVqynxzqFCstNuG9jHRcl1Laanm6e6spz1fikcp3EcYLHY0ClWmJKvUn0dcLN//gVaPSaTlulacN+omikKPOLiNhyst9lkY9s4vvNp+J6YPL5fivFG9Xo5+HoBzDe5iMVjq0y+quyc1Zaq910mmucrm+LdnmxKrwV0sBgtNcU875b05y8E9LAYABsJgGR/vXTmkcA9hsIiPUegRB7cQBgAGwmAJn9dCj9XgDsJggRCi0CMObiAMAAyEYWYhrYUeq8F+hAGAgTDMKMS10GM12I0wzCTkKPSIg70IAwADYZgBa+ENq8FOhGFiRMFEHOxDGAAYCMOEWAsfYzXYhTBMhCh8jjjYgzAAMBCGCbAWTsdqsANhGBlROB9xmB9hAGAgDCNiLVyO1TAvwjASonA94jAfwgDAQBhGwFoYDqthHoRhYERheMRheoQBgIEwDIi1MB5Ww7QIw0CIwviIw3QIAwADYRgAa2E6rIZpEIYrEYXpEYfxEQYABsJwBdbCfFgN4yIMFyIK8yMO4yEMAAyE4QKsBXuwGsZBGM5EFOxDHIZHGAAYCMMZWAv2YjUMizAAMBCGE7EW7MdqGA5hOAFRcAdxGAZhAGAgDJ9gLbiH1XA9wnAEUXAXcbgOYQBgIAwfYC24j9VwOcJwAFHwB3G4DGEAYCAM77AW/MNqOB9h2EEU/EUczkMYABgIwxZrwX+shtMRBhGFkBCH0xAGAIbgw8BaCA+r4XNBh4EohIs4HBd0GAAcFmwYWAtgNXwsyDAQBfSIw2FBhgHAccGFgbWA91gNpqDCQBTwEeKwL6gwADhNMGFgLeAzrIY3QYSBKOBUxGEjiDAAOI/3YWAt4FysBs/DQBRwqdDj4HUYAFzG2zCwFnCtkFeDt2EAcDkvw8BawFBCXQ3ehYEoYGghxsG7MAC4nldhYC1gLKGtBm/CQBQwtpDi4E0YAAzHizCwFjCVUFaD82EgCphaCHFwPgwAhud0GFgLmIvvq8HZMBAFzM3nODgbBgDjcTIMrAXYwtfV4FwYiAJs42McnAsDgPE5FQbWAmzl22pwJgxEAbbzKQ7OhAHAdJwIA2sBrvBlNVgfBqIA1/gQB+vDAGB6VoeBtQBXub4arA0DUYDrXI6DtWEAMB8rw8BagC9cXQ3WhYEowDcuxsG6MACYn1VhYC3AV66tBmvCQBTgO5fiYE0YANjDijCwFhAKV1aDFWGA21z4RMd5/pr7CrAW5jXUF/Xu++H2PK5fDTZ/nGYNg+0fnBAM8fHndjyf7XHgUAKAYbYw2FxLYAo2n4icJQxEAdiwNQ4cSgAwTB4G1gKwz8bVMGkYiAJwmG1x4FACgGGyMLAWgONsWg2ThIEoAKexJQ4cSgAwjB4G1gJwHhtWw6hhIArAZeaOA4cSAAxRN9Jd+txTCPDFHKt7tJddcwgRDg4Z/cOhBAADYcDVWAv+IQwADIQBgOHCMLR6TCJF0e6vRElWqR32+gGYwYCLoVZdrLTMquHeJUZwKOqRkiRT1ZJ1Z7SVsiR5uw2TTI8D3nxXhiFW3nTquk5Nnm7e9PKH1eCgui60Wi5F1x1QZYqWKxV1/fa2utB6mWmom2/4cwy3N1oM/k4xvLeod12jMo0lScVquE8ujKFStio2v01LNd32jrnMtb0Jh9FdpOnyWJ307lecd81l79ByH/x903LuK3aB/u8Sd3lz6O3qnPxrhaJMt59/aTfmzTTsYqjXWiaPHEo4aaGb283vXv5Ycgu2lbJk/wR3Vlly3WbS/nnZ/Ca9192I/5/BzjF0XaM8llSv9c3bLZqq7Pq/b6fuacybJnSVsuVKRb37tlrF6uugJ9lwGM9jOEuh1c5ZYL/uvFr1d0a3NxacJWr/6EWS4j7G2zse1frdzHvV5rToZ13xPOq5oCvDUGu97GfeUutaklLdh3BHWhdaDXgWeF6tquyrXbff4ka3klS/6E/VSm2j3zZdv7nc3Wvz+F+h1e7zhtpKWTLg5+NlpyYOn4yL07wr/Tz7uKcp8y7WoRN4LvjgRKosPPHY9B9nvZ1wc+7jPbwmjz+4/YY7IXlhGELn8hn8Q2GIuzi274uuKdNNGOL4LRDePvJ1nqZMu3j3dozTLh/wBiQMp2jyLk3L10/I5vUhIxcXgyP6j/FreZuuTLfLlA/66Eb7Ri2+eSlWWhbv3pj+qwcLztP56PVhOUmttPekufp38+4tGBqPSpxi8aDvZaq3J5bFSvNSDQ9Xjubt7PtKy+3J7dcn/AV99nEao33PR+BabZXp66rQ61MZ4ljpv9/1dMdaGBthAGDgUAKAgTAAMBAGAAbCAMBAGAAYCAMAA2EAYCAMAAyEAYDh/wEU9HOmklZtAAAAAElFTkSuQmCC)
From the given figure:
![](data:image/png;base64,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)
Find the length of the sides of the triangle.
We can find the triangle side lengths by using the Pythagorean theorem.
Side length =
13, 13 and base =10
From the given figure:
![](data:image/png;base64,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)
Find the length of the sides of the triangle.
We can find the triangle side lengths by using the Pythagorean theorem.
Side length =
13, 13 and base =10
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,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)
Find the value of x.
![](data:image/png;base64,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)
Find the value of x in the given figure.
![](data:image/png;base64,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)
By angle bisector theorem, x =
>>>Therefore, the value of x is 29 degrees.
Find the value of x in the given figure.
![](data:image/png;base64,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)
By angle bisector theorem, x =
>>>Therefore, the value of x is 29 degrees.