Let ABCDE be a convex pentagon such that the
triangles ABC, ACD, and ADE are similar.
The diagonals BD and CE intersect in point P.

Prove that the ray AP bisects side CD.

(In reply to re(4): Question? by broll)

In my construction triangles ABC and ACD are similar.

In your construction triangles ABC and CDA (or DCA) are similar.

Posted by Bractals on 2010-10-18 15:59:52