Go Geometry Problem Problem 1091. Square, Perpendicular, Distance, Area, Center

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The figure shows a square ABCD of area S and a line L through the center O. If a and b are the distance from A y B to the line L, respectively, prove that S = 2(a2 + b2).
 

Geometry Problem 1091 Square, Perpendicular, Distance, Area, Center

 

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