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Variation on a Classic (Posted on 2005-08-23) Difficulty: 3 of 5
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?

See The Solution Submitted by McWorter    
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  Subject Author Date
Hints/Tipsre(3): Independent solution?Bractals2005-08-25 08:12:01
re(2): Independent solution?McWorter2005-08-24 23:36:32
Questionre: Independent solution?Bractals2005-08-24 22:38:48
Independent solution?McWorter2005-08-24 16:25:12
SolutionSolutionBractals2005-08-24 04:26:42
re(3): According to Geometer's Sketchpad... (spoiler)McWorter2005-08-23 20:28:19
re(2): According to Geometer's Sketchpad... (spoiler)Charlie2005-08-23 20:22:30
re: According to Geometer's Sketchpad... (spoiler)McWorter2005-08-23 20:20:32
re(2): According to Geometer's Sketchpad... (spoiler)Charlie2005-08-23 20:19:18
re(2): According to Geometer's Sketchpad... (spoiler)McWorter2005-08-23 20:11:35
re: According to Geometer's Sketchpad... (spoiler)Charlie2005-08-23 18:42:00
According to Geometer's Sketchpad... (spoiler)Charlie2005-08-23 18:24:42
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