Online Geometry Problems

Online Geometry Problem 632: Triangle, Interior and Exterior Angle Bisectors, Midpoints, Collinear Points. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a scalene triangle ABC with the interior and exterior angle bisectors AA', AA", BB', BB", CC', and CC". Prove that the midpoints of A'A", B'B", and C'C" are collinear.
 
 

Triangle, Angle Bisectors, Midpoints, Collinear Points
 

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