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Problem 535: Sawayama - Thebault's theorem. Math Education. Level: High School, SAT Prep, College Geometry

The figure shows a triangle ABC, D is the incenter of triangle ABC. Point E is taken on side AC, G and F are the centers of circles that touch BE, AC and the circumcircle of triangle ABC. Prove that G, D, and F are collinear.

Sawayama - Thebault's theorem


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