The unsolvable

For students of class 6-8 (age 12 to 14)
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Mohaimen
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Joined:Mon Jan 02, 2012 9:25 am
The unsolvable

Unread post by Mohaimen » Sat Jan 07, 2012 5:39 pm

I have been struggling a lot with with this one. Pls help me out
Let $D,F,E$ be points on the sides $BC,CA,AB$ respectively of a $\triangle ABC$ such that $BD=CE=EF$ and $\angle BDF=\angle CED=\angle AFE$ Show that $\triangle ABC$ is equilateral.
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