Triangle and Squares 17. Level: High School, SAT Prep, College geometry

The figure shows squares ABDE, BCFG, and ACHJ that are constructed externally on the sides AB, BC, and AC of a triangle ABC. ED and FG meet at M, GF and JH meet at N, DE and HJ meet at K.. Prove that KA, MB, and NC are concurrent in a point P.

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Last updated: June 29, 2007