Question

In a triangle ABC, D and E are points on BC such that BE = CD. Prove that AD = AE.

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Answer 1

As we have an isosceles triangle ABC with AB = AC, where D and E are points on BC such that BE = CD and we need to prove that the sides AD and AE are equal i.e. AD = AE. So, now all the corresponding sides and angles of triangles ABD and ACE are equal by the C.P.C.T property of congruent triangles.