In the classic problem you are given a triangle ABC with points D on AB, E on BC, and F on AC such that |AD|=2|DB|, |BE|=2|EC|, and |CF|=2|FA|. The lines AE, BF, and CD enclose a triangle inside triangle ABC. You are to find the area of this enclosed triangle relative to that of ABC. The answer is 1/7.

What if everything is the same except |BE|=|EC| and |CF|=3|FA|. What is the area of the enclosed triangle relative to that of ABC?

(In reply to According to Geometer's Sketchpad... (spoiler) by Charlie)

You meant 1/10, didn't you, assuming D, E, and F are on the triangle ABC rather than outside it?

Posted by McWorter on 2005-08-23 20:20:32