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 AE^{2} + BF^{2} + CH^{2} +
DG^{2} = AD^{2}.
