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Problem 379. Triangle, Excenter, Parallel to a side, Angle, Congruence.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the excenter E (point of intersection of one of the internal angle bisectors and two of the external angle bisectors). If line FEG is parallel to BC, prove that FG = BF + CG.
 

Triangle, Excenter, Parallel, Side, Congruence


 

 

 

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