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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.
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Artwork of problem
503

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