Question
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find GD.
- 3
- 4
- 5
- 6
Hint:
Gentroid is the intersection point of all the three medians of a triangle.
The correct answer is: 5
Centroid divides a median in the ratio 2:1
Related Questions to study
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find BG.
BE= 12
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find BG.
BE= 12
If G is the centroid of triangle ABC,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS4AAACVCAYAAADmOhdBAAAPDklEQVR4nO2dPZbayBqGX7VnKdDRrEDMBqCD6cipM8kZ3HPGmUNnDkaEaAmOfIOWNnDRCnwmaLGVoW4gCoSQQD8lqar0PudwbONuVEjFw/eVqr5yhBAChBBiEE9jN4AQQppCcZHWHLYLOI4Dx3Hgx2O3hkwJiou0JMb3TXL+V/iT5iLDQXGRdsQ/EQJwgwiBCyD8CaqLDAXFRVoR/wwBuPj4ssTz7wAQgkEXGQqKi7QgRuatj3iZActXDwDTRTIcFBdpjkwTP75gBgDLV3gAEH7D9jBqy8hEcDiPizQl9h2swvL/c4MU+/Vs2AaRycGIizTklCZWkPx4Qz7oktMlCFEJxUWacUoT4UUQQuQeUZYuJj/wdjKXFBaDeqIaios0Ij6FW97rsvA/S2Rj9Al+vF1iLiEEIy6iHI5xkV5wHOcsrfyfhKiAERdRTpmkGHkRlVBcRBlyIL4qsqK8iCp+G7sBxA7qpoJ5eTF1JG1hxEU603T8St6JZPRF2kJxkU50GXSnvEhbKC7SGhV3Cikv0gaKi7RC5fQGyos0heIijeljThblRZpAcZFG9DmRlPIidaG4SG2GmP1OeZE6UFzkIY8mlqqG8iKP4ARUcpex1hhyoiq5ByMuUsnYC6M5UZVUQXGRUsaWVh7KixShuMgNOklLQnmRPBQXuUJHaUkoLyKhuMgZnaUlobwIQHGREyZIS0J5EYqLGCUtCeU1bSiuCTP0xFLVUF7ThRNQJ4rJwsrDiarThBHXBLFFWhJOVJ0eFNfEsE1aeSiv6UBxTQibpSWhvKYBxTURpiAtCeVlPxTXBJiStCSUl91QXJYzRWlJKC97obgsxfQ5WqqgvOyE4rIQKaypS0tCedkHxWUZjLLKobzsguKyiCtpHWL4C+ecMjoLH/Ghh4PG/uUYhYcf93C8Dkh5UWDmQ3FZwnWkFcOfrxAmuR9IQqw+bdHeXQdsFw4cx4dmPmoEZ9nbAcVlAaXpoeshSrMPaRp42XPJP0hVH3y5O8sge0TIjubhdan6YOqgvMyG4jKc8jGtJXb7HZYz+e9f2R/eK5YADttFljLJXO6U7i223XPJw/YbwtyxdIbyMhhBjOXu5Ys8AeDycAORXv5TeKfnvSgVgQsBeCIqeZk0cK9fJ//wir8hX9cVQVqjjZpgQhvJNYy4DKXx3cNkg0/n0fIldlGW0IWrOTYJ4AZfOkdIl2jrK9azRz+tD4KRl3mMbU7SDJyinSakUSDcc4R1fvYUaV1HSHde5W5kdh3FXbfXFExq69RhxGUQtSeWxj4Wfny+gzib3/7IYfspi7RcF0CCzfeO9wrjn1m05Qb4ovvgVgWCkZcxUFyG0DQ1TMIV5nJO1XyDbGaEvNMX4/smAeDh6/5rdhcw/Ib2Y/MHbL+F2RG+rmFQlngD5WUIo8Z7pBZtLlMaeef0EIBwvUBEp3Qw8k7PnfLD8wD8zWB7Tc43Am7TSFO7GFqk5GQ4HCG4PkRnTF/Cw/aTPmCqqDH80IyPYOqoJRSXplBa+kB56QfFpSGUln5QXnpBcWkGpaUvlJc+UFyawIqlZkB56QHFpQGsWGoWlNf4UFwPieGXFcpTVCWPUZaZUF7jQnGNCKVlNlJeFNjwUFy1cRGkuYJ5u24L8igtO5D9gfIaFoprBCgt+1ArrwO2i6eSOv4+YnYbABRXAxJs5pdO1LZaKKVlL4y8hoPiGhBKy37UystF8J6v57/Dkl4EAPw2dgPMwUWQ7ltV9pQdmdKaBlJevN79wYirZzhHawT63lMy9/pVs2LURF4JNs/54QnlezQZC8XVI/zWHQMVe0pW7yF52C7gFF+/AkZe/UFx9QQ77Ij0tqfkAW8/AC+IIF/2EUIIfPjwoWVfuB7j2q9LanBPFIrrIUvshIAQj8e38reuKa2x6HNPyRnW+z126yWeG7ToeDziw4cP7BcqUVtQlaCw9+DUaXQO0kgEnntVchquK7zo4RZE17TcU7LJHpKy/HXTateO44jj8fjgp1IRuE5JO1wRvDc7nq0w4lJIfiBe5GZUc1lIDQ5bLOYrbMIEV8NHSYJw9f1mrKkRA+wpWRcZfQlGXt0YVZsWUedUYoLRWL33mdvj0fVEPsBKo0B4btVejjVeudWeko/2kGwfcUkcJ4uoHkdfpAxGXAqoO3YhGI2VE3/HJgEAD9HV+BQwW66zMavarzXCnpI1eHq6XsLz77//8rp3gOLqQNeBeEos4/B+PYCOwxaL4hq9Bq/X356ScpqEg1W2jSTCVfV8rqKoitebaWN7KK6WqJ5YWiWxKYqsE8sd0siDm3vK9QJEaRa1xf4KIeS41hJfgrKoa4b1/rTEpsGhi9eteE3LoLzawX0VWzD0be18pzftctU6V7EPZxUCboB0n98JO4bvrBDCQ9RQIkNQlFGXa/P09MT0sQGMuBoyxlwc61PK5WuWsiUbzBdbtctzFFMVUXXtE4y8msGIqwG6TSBU+Y3fF7XPWexjsQpRvpJmvIhr6HPMyKsejLhqopu0AMvuUi532KcRAs+9etp1XXgDzrO6N041xPXnLPt6MOKqgYmdSJdxMRPOnS7nqgijr2pYj+sBJnzwysi32YSUckhMOR/H45HyqoDiqsCm4n/F96BrhNEXpoiqDMqrHIqrBFOjrLpURWM2vWeb3hfldQvFVcB2aRWxJaU0ue11oLyuobhyTE1aRUxLKXVvn2oorwsU14mpS6sM3VJK26OqOlBeGRQXKK06jJFSUlTlUF4UF6XVgj5TSh0iOxOQ8hJC4Hg8Tk5gkxYXpaWGLiklo6r2HI9HANOcqDrZmfOUVv+USYmi6oepyWty4rJpYqkJVH2QeP7VMyV5TUpcjLKGoU5UxbGsfpiKvCZTHYLS6peqigpVmF3x9VLC+epRVr9Z2SFj+IvqMtGSqdT1moS47knrvEFo3x3vDjq0oSn3yr80xaryPK2RMrytr3/YLuDMVwjLi5XdMAV5WS+u+5GW3DhBBdUd7z4q29AfQ9apMkdiHqL8edj1UTXsgLcfgBdECLz6v2W7vKwW16P0UG6c4HkNeoRidGhDFWMW1JPonVKGWMn2LPxzyelzBC2j59iH4zhY1NtKqMAM6/0eu/USzw1/02Z5WSuuh2NasZ9tMeVF2L1e/5fajneHO20YA5XpXx9onVImIVbzLNqereW2Zyv48QHbbyEAD1/Xs5tfuwwTzE97S+ZkqGDYwNqKqsJCHr+twk7FkZftanzeljgS3nn34/u7GqeBe7ND9flxd5vjR23on2J7+zrGEPT9Pu5x2S07tyu2vJ6nh3u7XXb2uw36j4rds23ZOdu6iKvON8t5J+PKWuZL7KIsdQtX8wc/247HbegHHdK/PhAjppSz5Qs+ugCQ4J/09OTyC4Jz+XwXH19uoy0AmK33p3anp5/PjZspHjOzKnUcSZjKQYNvW/nNVfpwA5F9N8qIqPBNWsn9yKxdG7pTfO2h0aGLKX//aSA8Lzpfo/QcXV36iYykXNetGUk/7j9dIy6JDZGXFRFXPnpQxTkicst2OtaXsXep0RHRw7jYr3CF+el15qswe9L7imwYS94p9vB1L8e7vqHdEOllzpg8TLh6PJ/rHlZEXmMZUxVK3kLlGJcnovPfH0VdzSKux22oD0aMqB6hY5sk6BCNppF3GtfK+oYXXCIwGRnJca3zOFarUCkf+V8/phx56duraqDsQ1GQhtqO164N9+jygRsa3duXx5RzqhJT5WXsWkXrbu8+wNS1faZeJ1PPdxtMXN9oZD0uUz8MTWD5l3HJn2/br4WJFVWNE5et0rL9w2EyxWthYzRmmryMEpdt0rLxAzAFqqIx06+hSeWgjRCXLcX/GFXZh20ppSnloLUXl8lRlg0dmdTnXkqpewRTRPfUUWtxmSgtm1IH0o389ZcpGGCOxHSWl7bTIUyRFqOq+5hyHYckLzFAf5HpKC8txaVzZ6eomqHztdQFE6Ix3eSlnbh07OhM/9qj4/XUGZ0lppO8tFpkrUsn172gXl0Gq2VfcyMH8pjj8Xjua7IAYL4fjt02XRZnayOusS+MfRUVhqmn33QjB1KfvMSKIhurX+oiLy3ENcaFsCWqqmKYWvbtNnIg7aiKxobuszqUgx5VXEOe+EnVqRqsnn77jRxIN8ZOKeXxx4q+RhNXH8X/yo4xCVFdcdmcISop/avTRg5EDWOmlGOljqOIq68Tanv6Vwcd6umTcRk6pRxDXoOLS+UJnFT6V5P0n2yUPNnMs/NyqfcLZ7HFAdByIwfSD0OllEPLa1BxqThZFFV3TK2nT7rRd0o5pLwGE1fbk8P0rxnL3bXMxSkthBdB7NeYab6RAxmOPlLKoeQ1iLianAymf/0ip0lk41pLfAnqRF0zrPcCQuw4FmYpKlPKIeTV+5KfOm+cS2rsZeyJxaQ7bZch9blEqFdxVXVaLlSeDhSXXTSVWF8VVXsRV1nFUkZV04Tispcm5XlUR1/KxSU7KqMqAlBcU+JRNKZSXsrERVGRMiiuaVIlMVXy6iwupoDkHhQXKaaUQPdaY0oiLh0KixFCzKKLvJRslsFvVFIFIy7SB1rU4yKEkCYoENdl2cflscDCj9FqFQkhhDygp4grQRKuMOeCtYlzQODeLuNaLHzEB36tkRyHGJ//yO2RsPARpNVDDArF5SJIs7VOqazj++udURe5IUlCrOZzLsQmGfFnPD2vsNvnNi5IQvzn+TOiivHRfse4fn9GeaUnMi0uX2pCpIi8rBhYuLrdfINMjRifX0IIAcB7w/vxFPxEAfwFUHnPUXQmFYELARQebiDS7i9OjEb2DVcEadnzEF40VtuIFkS+cBwIwBNvx2PtX+sv4ko2mMuKm4RcMcPz79nffr2zh0yZw/uv7C/en1hWx1c39DLGdS71m2zA4pqEENVwHhcZgQPkF+3vzxwFnTIzGXqH/0WM+hOVFYorwWYub3nL7aw8vLJkJrnigNj/xP5BMpZ/woMDIMTL5xjnGRCHGJ//8BEPfVfR9QJEKUv9EqD4pbYKs9veXsT+QZb4628XjgMgfMHz06mfzFfY7VEZgykQl6xHfv3Y79ZYMgsgN7hwXQ9RKsAdzggAzNb/w/ubj4Wbe9L18PfbX1hVLMLuveY8IYSohoPzhBDjoLgIIcZBcRFCjOP/ymP8LBZGolsAAAAASUVORK5CYII=)
Find BE.
BG = 4x + 4
BG = 2/3 BE
4x + 4 = 2/3 (7x + 5)
12x + 12 = 14x + 10
2x = 2
x = 1
BE = 7x + 5
= 12
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find BE.
BG = 4x + 4
BG = 2/3 BE
4x + 4 = 2/3 (7x + 5)
12x + 12 = 14x + 10
2x = 2
x = 1
BE = 7x + 5
= 12
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find CG
>>>CG was given as 5x+1 and CF can be found in terms of x.
>>>There is no scope to find the value of x.
>>>Hence, we have no way to find the value of CG.
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find CG
>>>CG was given as 5x+1 and CF can be found in terms of x.
>>>There is no scope to find the value of x.
>>>Hence, we have no way to find the value of CG.
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find AG
Centroid divides a median in the ratio 2:1
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find AG
Centroid divides a median in the ratio 2:1
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find x.
If G is the centroid of triangle ABC,
![](data:image/png;base64,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)
Find x.
In the given figure:
![](data:image/png;base64,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)
Compare area of ∆ABE, ∆ACE.
In the given figure:
![](data:image/png;base64,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)
Compare area of ∆ABE, ∆ACE.
In the given figure:
![](data:image/png;base64,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)
Find the area of ∆AEC.
Area = × 12 × 5
= 30
In the given figure:
![](data:image/png;base64,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)
Find the area of ∆AEC.
Area = × 12 × 5
= 30
In the given figure:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdIAAADFCAYAAADgxHOhAAANMklEQVR4nO3dPXIa2RoG4K+n7lLAwZRXACuASRw5dQahlNxswptNgkKRTerIiWEFYgWuCQb20jcAJIQAgfq/+3mqVCMZ2fRI0O95T/fpTtI0TQMA+JDfqt4AAGgyQQoAGQhSAMhAkAJABoIUADIQpACQgSAFgAwEKQBkIEgBIANBCgAZCFIAyECQAkAGghQAMhCkAJCBIAWADAQpAGQgSAEgA0EKABkIUgDIQJACQAaCFC7YPAwjSZJIkiSmy6q3BqgjQQpnLeOv+9XzV/MfkhR4S5DCOcsfMY+IwWwRs0FEzH+EKAWOCVI4Y/ljHhGD+PrHKD59joiYh1IKHBOkcNIytjn6Nf7oRYy+TCLC9C7wliCFU/bTul//iF5ExOhLTCIi5v+Lh02lWwbUTJKmaVr1RkDdLKdJjOenHxvM1vF01yt3g4Da0kjhjd207hmr7z9DKQX2BCkc203rxmQRaZoefCy207ur7/FTkgI7ghSOLHd1dPJldPTIKLbnHK3iuyQFdhwjBYAMNFIAyECQwgVJklS9CUDN/afqDYA62gdomqavPgc4ppHCkSRJns/UPRWoAIc0Uth5r3lqp8ApghTipYW+Z/89134/0H6mdum0/U27T4XipbDct1PTvYBGSiflMUV72E6z/ltAcwlSOifvaVnTvdBtgpTOKLo5OhkJukmQ0glltUXtFLpHkNJqVTVE7RS6Q5DSWllaYR6NUjuFbhCktE7dmqB2Cu0mSGmVOra/w22q4/YB2QhSWqGuje/4gg3aKbSPIKXR6hxK57ZNO4V2EaQ0VhOC6NL2aafQDoKUxskzfE6FcdaAvuX6uy4zCM0nSGmUSxeYj6gmiA6Dc//8t25HXad767Y9UEfu/kIjXLpLS0S1TW5/E/CI7MFTt7vKCFF4n0ZK7d1yr9BT7TDrv1u2urZT4LQk9U6lprJM197a6A6f46NtsIiThxw7hfoTpNRS0W3smrD8aDMsIvy0U6gvU7vUSpkN7NxJS3lcY/e9Y7of/Tf3nwP14WQjauEweIoOijLa3fGylrz+zePjwED1NFIqV+a0ZZnP5Qbi0A2ClMqUHQZtOs7ozF6oD0FKJcoOgLYGjnYK1ROklMpOP38uMwjVEqSUpqpWeO3JOU1vraZ7oRqClMLVoSl1KVhM90K5BCmFqrodVf38VdFOoTyClELUoREJEe0UyiBIyZ0AqxftFIolSMmN5lNv2ikUQ5CSWR13zh+50Hydtr8o2inkT5CSSV13yHXcpjrRTiE/gpQPsRNuPu0U8iFIuZkdb7top5CNIOVqdrbtpZ3CxwlSrmIH2w3aKdxOkHJRF3aqBgmvuQg+3Oa3qjeA+toHjB1pN+1/99de9D8Xm2VMh0kkSRLT5fnHkiSJZDiN5aa8TYNzBClv7HdUApSIl+neogN18zCMpD+O+erUo8uYHj+2msf420PIUqomSHl2GKBClEPFt9NN/PweMZktYjY58y2DSSzW2+1Y779p9U+sC9oiuJZjpESE44Rcp7iTkXpx9/QUERHL6anHR/H4NDr4+tf2P5MvMTr17VAiQdpxTijhVpUtlVlOIxnPX74ezGL9KEapnqndDjONq4lnUdax07NW9/HtzRlJUD5B2kFOJiIvpZ7ZO3p8fr71YhaDiFjNx2/P7oWSCdKO6VYL3cTD4XKJ/Yc9b+4Kb6fLaQyny+czdHv9Yp4GPkKQdoQWStGytdOXQc/+MOh8/Ho96Wo+jv5+MNS/j+1KmEl8cZiUignSMlS8yLxbLfSUSSx2//9pmkbqBJVCFdJOR4+xXkxicPBHg8ksFutHZ+1SuSTt7t61FJuHYfTvX1aRTxZpvOzHlzFNxjE//kuDWayf7qKX8bmdkbuJh2E/7g8X8Q8msfj7MUa7H+41LV2T/zivQbpAIy1UNYvMXVjhgtU8xv1pLENAlqGSywxCyQRpobaLzB/vRvHp5OOjeHx6aUd5LDIXoId6cfeUvjnTM+JX/Ou6cqWqfKkMFEiQVm05fd7B9O9XH15k7mSi9/VGf8TXQUTEKv5xXbnSaae0lSCtmw8sMtdCz9g8xPRgycRm+dfueOkgfrd8ojLaKW0jSKuWYZG5Fvq+XwdLJvr7dRWTP+Mu65lcZKKd0iaCtEoZFplroVfo3cXfr5ZMDGIyW7g+a41op7SB5S+FOrH8YmeySOMxji7C/fJoLNLT6+MsJ8jHLU1e6y+HnzNNpZFW6cZF5loobaad0lQaaQNoofnTSOvNz5wmcT/SmrNDoYuKu4E45E+Q1pSdCF13eAPxw6+hbgRpzdhpwGuHgep9QR0J0hqxoyiHn3Mzme6lrgRpDdg5wHW0U+pIkFbMDgFup51SJ4K0InYCkI12Sl0I0gp440N+tFOqJkhL5M0OxdBOqZIgLYk3eD34PbSbdkoVBGnBvKmhXNopZROkBRGgUC3tlLII0gIYCUM9uMwgZRCkOfJmhXoy3UuR3I80J+4V2kWbeBgmkSTDeNhUvS1cwz1PKYJGmpEW2hzaCBHaKfkTpBl4I0JzORmJvAjSD/Dmg3bQTsmDY6Q3ciyUU/75OY3h7thbMpw6Ztowjp2SRZJKhKtooc330dZx/u9t4mHYj/vViYcGs1g/3UXv5mejatopt9JI37EfpWqhXDKYLWKdppGuZzGIiFj9E+uqN4oP0U65lSC9QIC2R7EtYxBf/xht22fvU3wu6Fkoz/59L0y5hpONTjCNC0Q4s5frCNIjjo8Ah1xmkPcI0h1vEuASS2U4x1m74Y3RBVl+x14fHDPw5lCnG6k3A/AR2imHOhuk3gDd4XdNUZyMREQHg9SLHsiTdkpnglSAAkXSTrurE0FqpAiUQTvtplYHqdEhUAXttFtaG6RGhECVtNPuaF2QGgVyyE6Mqmmn7deqILXTBOpIO223VgSp0R7QBNppOzU+SI3wgCZxEfz2aWyQehECTWa6tz0aGaReeEBbmO5tvkYFqRcbtzDgoim002ZrRJAKUKALtNNmqn2QGqEBXaKdNk9tg9SoDOgy7bQ5ahmkRmIA2mlT1CpIjb4A3tJO6602QWrERZ68nmgb7bS+Kg9SoyyA62mn9VNpkBpZAdzOZQbrpZIg9csHyM50bz2UGqQCFCB/pnurVVqQGjEBFEc7rU7hQWqURNnsSOgy7bR8hQapHRpA+bTTchUSpEZDANXTTsuRe5AaAQHUh3ZavNyC1KgHoL600+LkEqRGOgD1p50WI1OQGt1QN3YQ8D7tNF8fClK/AIBmc5nB/NwcpEb8AO1huje7q4PUqAWgvUz3ftxVQWqkAtB+2unHXAxSoxOA7tFOb5OkZ35K+x8iAN0mTC8720j94GiaoqajTHMBl/xW9QZA3QlR4JIzQbqJh2ESSXL4MYzhdBmbcrcPribwgCrc0EhXsZqPoz9dFrc1cJVTA70kkmQaXp1Qks0ypsPhy/tvOI2Hjjatd4J0ELN1Gmmaxno22f7Rr3+1UlrodDgPh9NYbrzi4ZXlNJL+OOar1cufreZx3+/mYPb2Y6SfP0WvgA2B270M9LYfjzHK+RlWq3mM+/0wEQN7y5iO59tPJ4tY795/68UsJoNqt6wq7wTpKu7725F5/34eMZjF+jHvXRXUyWE4r2Ox2zPMx90cacMbyx+xjdFJLB5Hz8WqN7qLx6f8B7NNcFsjXd1Hf/hgapeaeBnoJUkSw9wP0PRi9Ph3zAYREfP4IUkhNv/+2n4y+dLJ0Dzl6mOkabre7lBW9/GXHQqd0YtPn7ef/frXEBJ4yzpSGuz1MdKnO0fvoWi9/chy/sPhjp2rj5EmST/uVxERk/iiz9MZm9jPZH3+JKghRl9iu4ZjHuPDawtsljEddvNcgpsa6WAyi8W6mweTqaPXx0iTZJjzOrZNLKffDCDhlVH8d7Y7PXc+jv7+/dcfx3x1+W+21Zlr7fbi7imNu3K3BWpgG873R386WRhAwl7v7inWn6bx7X/zeF5KOpjE7M//dvJ9cvbuL9Atm3gY7g9f7A1iMPgcf/79GCOzusAZTjYq2mYZ090Vc94s6j9xia2lE0Mrsp2Febm4Qxpp+hRPT0IUuOzijb3JZvMwjP79mYMGm4cY9u/j1aOreYy//R7rpztXjwJoCI20MJv4+T1iMlvE/jLFbwwmsdhfy3ix+6bV9/iplQI0hkZamF7cPT1FRMRyeurhu9g9vP2y/3sMImIVn8MqC4Dm0EhrYvnXdpp3MOvmWW8ATSVIa2DzMIzxPCImi/jb1XkAGkWQVuz5hKTJItYHd1IAoBkEaWW2N5Lu369iMFtHKkSpguVZkJkLMhTm1AL/rckijceYRrK/Oe6RwWztAuwU7nh51mSRxvPthk8tz4rY3pPY8ix4RSOFTrI8C/KikULHLadJjOdHjfTYc0OdxCJ13WE4pJEC77I8C84TpMBFlmfBZYIUOMvyLHifSwQCJ7ycde4scrjMyUbQSZZnQV5M7QJABhopAGSgkQJABoIUADIQpACQgSAFgAwEKQBkIEgBIIP/AyuO7wMnKJ4vAAAAAElFTkSuQmCC)
Find the area of ∆ABE.
Area of the triangle =
Area = × 12 × 5
Area = 30
In the given figure:
![](data:image/png;base64,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)
Find the area of ∆ABE.
Area of the triangle =
Area = × 12 × 5
Area = 30
In the given figure:
![](data:image/png;base64,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)
Find h.
In the given figure:
![](data:image/png;base64,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)
Find h.
Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA
Given vertices of a triangle are A (1, 1) B (11, 8) C (13, 6).Find the midpoints of BC, CA
The centroid and orthocenter of an equilateral triangle for special segments are ____
The centroid and orthocenter, both are the same in an equilateral triangle for special segments
The centroid and orthocenter of an equilateral triangle for special segments are ____
The centroid and orthocenter, both are the same in an equilateral triangle for special segments