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=2DB, BE=2EC, and CF=2FA. 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=3FA. What is the area of the enclosed triangle relative to that of ABC?
(In reply to
Independent solution? by McWorter)
I did derive Routh's Theorem using vector algebra before discovering it on MathWorld. Does that count?

Posted by Bractals
on 20050824 22:38:48 