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If the altitude from one vertex of a tri...

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A `A B C` such that the altitude `A D` from `A` on the opposite side `B C` bisects `B C` i.e., `B D=D Cdot` TO PROVE : `A B=A C` i.e. the triangle `A B C` is isosceles.

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