Triangle and Squares 22. Level: High School, SAT Prep, College geometry

Squares ABDE, BCFG, and ACJK are constructed on the sides AB, BC, and AC of a triangle ABC. AMN, BHT, and CPQ are perpendicular to BC, AC, and AB respectively. Prove that the areas of the rectangles S1 and S1' are equal, S2 and S2' are equal, and S3 and S3' are equal.

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Last updated: June 29, 2007