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Math Help - Isosceles Triangle

  1. #1
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    Isosceles Triangle

    Prove: If a median of a triangle is perpendicular to the side it bisects, then it bisects the angle opposite that side and the triangle is isosceles.

    Can anyone please let know how to prove this problem? thank you so much
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by jpmath2010 View Post
    Prove: If a median of a triangle is perpendicular to the side it bisects, then it bisects the angle opposite that side and the triangle is isosceles.

    Can anyone please let know how to prove this problem? thank you so much
    The median divides the triangle into two smaller triangles that are congruent by SAS congruence. Can you finish off?
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