1@ jeetopper : Can u plz prove that the given trianlges are congruent ? Congruent triangles have equal areas but the reverse MAY NOT be true always...
Let P be an interior point of a triangle ABC. Extend AP, BP, CP to meet BC, CA,
AB respectively in D, E, F. Suppose the areas of the triangles APE, APF and BPD are equal,
prove that P is the centroid of triangle ABC.
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5 Answers
11I think its easy since if the given triangles have equal areas they must be congruent n now simple reasoning show that d e f are mid pts thus making p as centroid.
11ya abhi's saying right congruent triangles have equal areas but triangles of equal area may or may not be equal....
1the title of forum is kvpy sample questions so please post properly about the topic