Home Geometry Problems Collinear Points 311-320 View or Post a solution  
Problem 320: Triangle, Circumcircle, Incenter, Excenter, Collinear points.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with circumcircle C1, incenter I, and excenter E relative to BC. IE intersect BC at F; IE intersect C1 at G. H is the midpoint of arc AG. HI intersect C1 at M and HE intersect C1 at N. Proved that M, F, and N are collinear.


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