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Abc is a triangle where ad bisects angle a and d is the midpoint of bc prove that triangle is isosceles

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  1. In triangles adb and adc,
    angle adb = angle adc
    bd = dc
    ad = ad
    So, the triangles are congruent, meaning
    ab = ac so abc is isosceles.

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  2. I've seen this mistakes in a lot of pages. But you should know S.S.A. axiom doesn't prove triangles are congurent..

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