SOLUTION: Let D, E, and F be points on the sides BC, CA, and AB respectively of triangle ABC such that BD=CE=AF and <BDF=<CED=<AFE. Prove that triangle ABC is equilateral.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Let D, E, and F be points on the sides BC, CA, and AB respectively of triangle ABC such that BD=CE=AF and <BDF=<CED=<AFE. Prove that triangle ABC is equilateral.      Log On

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Question 610346: Let D, E, and F be points on the sides BC, CA, and AB respectively of triangle ABC such that BD=CE=AF and
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
First off, draw a diagram with pencil/paper. It's a bit of a headache drawing one online.

After that, you can prove it several ways; you can use a direct proof, or perhaps a proof by contradiction (e.g. assume the triangle wasn't equilateral, i.e. DC, EA, BF are not all equal).