Triangle with Squares 3: Three squares. Level: High School, SAT Prep, College geometry.

Squares of centers M, N, and O are constructed on the sides AB, BC,  and AC of a triangle ABC,  then:
1. BO and MN are congruent.
2. BO and MN are perpendicular.
3. An, Bo, and CM are concurrent en P.

See also:
Triangle with Square 1 Two squares
Triangle with Squares 2 Two squares
Triangle with Squares 3 Three squares
Triangle with Squares 4:Finsler-Hadwiger Theorem,
Triangle with Square 5 Two squares, altitude and median
Triangle with Squares 6 Four squares
Van Aubel's theorem: Quadrilateral with squares
Parallelogram with Squares theorem.

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Last updated: February 13, 2007