Geometry Problem 1349: Three Squares, 90 Degrees, Perpendicular Lines, Diagonal. Math Infographic.

Proposition

The figure below shows the squares ABCD, CDFE, and EFHG. AE and BH intercept at P. Prove using Euclid's Elements alone that CP is perpendicular to AE.


Geometry Problem 1349: Three Squares, 90 Degrees, Perpendicular Lines, Diagonal. Math Infographic
 


Sketch of problem 1349


Sketch of Geometry Problem 1349, Tutor

 

See also:
Art of Problem 1349 using iPad Pro Apps
Poster of problem 1349