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Math

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Right >AHD with right angle <AHD.N is the midpoint of AD

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By definition of a midpoint, segment AD is congruent to segment BD. Segment DE is parallel to segment AC so angle BDE and angle ADE are right angles. ... This makes BE congruent to AE which makes segments BE, AE, and EC congruent. Thus the midpoint of the hypotenuse is equidistance from all three vertices.

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