Online Geometry Problems

Online Geometry Problem 952: Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points. Level: High School, SAT Prep, College, Mathematics Education

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The figure below shows a triangle ABC with the circumcenter O and incenter I. Equal circles D, E, and F are tangent to angles A, B, and C, respectively. Circle G is tangent to circles D, E, and F. Prove that points O, G, and I are collinear.

 

Infographic Geometry Problem 952: Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points


 

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