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Heptatriangle (Posted on 2014-03-01) Difficulty: 3 of 5

  
Let the interior angles of ΔABC satisfy the following:

   m(∠A) = 2*m(∠B) = 4*m(∠C).

If the bisectors of interior angles A, B, and C intersect
the opposite sides in points D, E, and F respectively,
prove that ΔDEF is isosceles.
  

See The Solution Submitted by Bractals    
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