Online Geometry Problems

Online Geometry Problem 623: Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a triangle ABC with the incenter I and excenter E corresponding to BC. Prove that the points I, B, E, and C are concyclic (lie on a same circle).

Triangle, Incenter, Excenter, Concyclic points


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