Triangle with Squares 5: Median and Altitude. Level: High School, SAT Prep, College geometry.

Squares ABDE and BCGH are constructed on the sides AB and BC of triangle ABC. The median BM of the triangle formed externally between the squares is also the altitude of triangle ABC. Also BM = AC/2.



See also:
Triangle with Squares 0 Two squares
Triangle with Squares 1 Two squares
Triangle with Squares 2 Two squares
Triangle with Squares 3 Three squares
Triangle with Squares 4: Finsler-Hadwiger Theorem,
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