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
re: Independent solution? by Bractals)
Yes, but I would have thought you would like to show off your solution. I, and perhaps others, would enjoy seeing it.
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Posted by McWorter
on 2005-08-24 23:36:32 |