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Math Geometry Problem 1013: Square, Line through the Center, Perpendicular, Distance, Metric Relations. Level: School, College

The figure shows a square ABCD with a line EH through the center O. If AE, BF, CH, and DG are perpendicular to EH, prove that AE2 + BF2 + CH2 + DG2 = AD2.

Geometry Problem 1013: Square, Line through the Center, Perpendicular, Distance, Metric Relations
  
 

 

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