This one is giving me a hard time---
You are given a fixed triangle T with base B. Show that is is always possible to construct, with straightedge and compass, a straight line that is parallel to B and that divides T into two parts of equal area. Similarly, divide T into five parts of equal area.
Anyone have/know a solution to this? I think one of the scale factors is 1/sqrt 2...but how would you properly construct what needs to be constructed??