In a triangle ABC, AD and AE are median and altitude on BC respectively, perimeter of triangle
ABC is equal to: [AD = 2root 7 . AE = 2root 6 & BC = 6
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Correct option is A)
ABC is the triangle and O the centroid. Let AO produced meet BC in D. The Area of the triangles ABD = Area of triangle ACD.
(Reason CD=BD and same altitude and Area =
2
1
×base×altitude)
Similarly, Area EBD = Area ECD. Subtracting i.e
Area ABD - Area EBD = Area ACD - Area ECD which implies Area ABE = Area ACE
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