Problem 669: Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map

Online Geometry Problems


The figure shows a triangle ABC with the circumcircle O and incenter I. D and E are the midpoints of the arcs AB and BC, respectively. F is a point on the circumcircle O, FD and AB meet at G, FE and BC meet at H. Prove that points G, I, and H are collinear.  See also: Artwork of Problem 669


Geometry problem about triangle, circumcircle, midpoint, incenter, collinear points


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