Go Geometry Problems

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

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

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.
 

Selected Topics

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art GalleryArt | 1141-1150 | Triangle | Square | Rectangle | 90 degrees | Angle bisector | Last updated: Oct 6, 2015

Add a Solution to the Problem 1044