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 Variation on a Classic (Posted on 2005-08-23)
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 No Rating

Comments: ( You must be logged in to post comments.)
 Subject Author Date re(3): Independent solution? Bractals 2005-08-25 08:12:01 re(2): Independent solution? McWorter 2005-08-24 23:36:32 re: Independent solution? Bractals 2005-08-24 22:38:48 Independent solution? McWorter 2005-08-24 16:25:12 Solution Bractals 2005-08-24 04:26:42 re(3): According to Geometer's Sketchpad... (spoiler) McWorter 2005-08-23 20:28:19 re(2): According to Geometer's Sketchpad... (spoiler) Charlie 2005-08-23 20:22:30 re: According to Geometer's Sketchpad... (spoiler) McWorter 2005-08-23 20:20:32 re(2): According to Geometer's Sketchpad... (spoiler) Charlie 2005-08-23 20:19:18 re(2): According to Geometer's Sketchpad... (spoiler) McWorter 2005-08-23 20:11:35 re: According to Geometer's Sketchpad... (spoiler) Charlie 2005-08-23 18:42:00 According to Geometer's Sketchpad... (spoiler) Charlie 2005-08-23 18:24:42
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