Problem 503. Triangle with Three Squares, Perpendicular, Congruence, Concurrency. Level: High School, College, SAT Prep.
The drawing shows a triangle ABC with the squares of centers M, N,
and O constructed on the sides AB, BC, and AC, respectively.
Prove that (1) BO and MN are congruent and perpendicular, (2)
AN, BO, and CM are concurrent at P.
Artwork of problem