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Problem 370. Triangle with squares, Circumcircles, Tangent circles.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the squares ABDE, BCFG, and ACHJ. Prove that the circumcircle 1 of triangle ABC is tangent to circumcircles of triangles A1B1C, AB1C1, and A1BC1.
 

Triangle, Square, Circle, Tangent


 

 

 

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