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Problem 502. Triangle, Two Squares, Midpoint, Perpendicular, Half the measure. Level: High School, College, SAT Prep.

The drawing shows a triangle ABC with the squares ABDE and BCGH. If M is the midpoint of DH, prove that (1) BM is perpendicular to AC and (2) BM is half the measure of AC.
 
 

Triangle, two squares, midpoint, perpendicular, congruence
 
 
 

 

 

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