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Midpoint Areas (Posted on 2012-02-18) Difficulty: 3 of 5
Let points D, E, and F lie on the sidelines
BC, CA, and AB respectively of ΔABC.

The lines AD, BE, and CF are nonparallel and
concurrent at a point not on any of the sidelines.

Prove that the triangles BDF and CED have the
same orientation and equal areas if and only if
D is the midpoint of side BC.

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Possible solutionBractals2012-02-19 14:07:11
Some ThoughtsPossible solutionbroll2012-02-19 08:02:30
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