# geometry

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Prove that median of a isoeceles trinangle is perpendicular to the unequal sides.

• geometry -

given:
ABC is an isosceles triangle with
AB = AC ---- by definition
If AD is the median to BC
BD = CD ---- given
therefore triangle ABD is congruent to triangle ACD (SSS)
but angle ADB + ADC = 180
so each angle = 90°

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