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Triangle and Squares Problem 17

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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: October 19, 2009