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If the bisector of the vertical angle of...

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : A `A B C` in which `A D` is the bisector of `/_A` meeting `B C` in `D` such that `B D=D Cdot` TO PROVE : ` A B C` is an isosceles triangle.

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