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Geometry Problem 1144: Three Equal Squares, Rectangle, Diagonals, Perpendicular, 90 Degrees, Angle Bisector. Level: School, College, Mathematics Education

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The figure shows the squares ABCD, CDFE, and EFHG. AE and BH intercept at P. Prove using Euclidean elements alone that (1) DP is perpendicular to BH; (2) PA is the bisector of angle BPD.
This entry contributed by Ajit Athle.

 
 

Geometry Problem 1144: Three Equal Squares, Diagonals, Perpendicular, 90 Degrees, Angle Bisector

 

See also: Kaleidoscope of Problem 1144 base on Poincare Disk Model.
 

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