In triangle ABC, if O is the centroid of triangle ABC and the area of triangle OAB is 36cm² Then find the area of triangle ABC ...
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Step-by-step explanation:
If G is the centroid of the triangle △ABC
Then Area△AGB=Area△AGC=Area△CGB
Now Ar△AGB+Ar△AGC+Ar△CGB=Ar△ABC
∴3Ar△AGB=Ar△ABC
Hence, Ar△AGB=
3
1
Ar△ABC
Therefore, Ar△AGB=Ar△AGC=Ar△CGB=
3
_
1
ar△ABC
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