The mathematical (and other) thoughts of a (now retired) math teacher,
Tuesday, 13 October 2009
An Interesting Geometry Problem
Came across a geometry problem with an interesting result which I did not suspect... thought I would share... In the figure, rectangle ABCD is inscribed with a triangle by selecting points E and F on the segments AB and BC respectively, so that triangles AED, BEF, and CFD all have equal area. Find the ratios of AE:EB and BF:FC. I was surprised, and pleased, hope you are as well.