Triangle with Squares 4: Finsler Hadwiger Theorem. Level: High School, SAT Prep, College geometry.

Squares ABDE and BCGH are constructed on the sides AB and BC of a triangle ABC. The midpoints S and I of the segments AC and DH together with the centers of the original squares F and N then form another square FINS.

See also:
Triangle with Squares 0 Two squares
Triangle with Square 1 Two squares
Triangle with Squares 2 Two squares
Triangle with Squares 3 Three squares
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