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Geometry Problem 1182: Two Squares, Four Quadrilaterals, Sum of the Areas, Metric Relations

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The figure shows the squares ABCD and EFGH. S1, S2, S3, and S4, are the areas of the shaded quadrilaterals.
Prove that: (1) AE2 + CG2 = BF2 + DH2; (2) S1 + S3 = S2 + S4. See also: Puzzle of problem 1182.

Geometry Problem 1182: Two Squares, Four Quadrilaterals, Sum of the Areas, Metric Relations

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Last updated: Jan 28, 2016

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