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        By Antonio Gutierrez
Problem 663. Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector, Concurrency. Level: High School, College.

The figure shows a scalene triangle ABC with angle B 60 degrees. Prove that altitude AD, angle bisector BE, and perpendicular bisector FG are concurrent at a point M.

Triangle 60 degrees
  
 

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