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.