MathDB
2007 Guts #32: Circumcircles and Triangles

Source:

June 22, 2012
geometrycircumcircle

Problem Statement

Triangle ABCABC has AB=4AB=4, BC=6BC=6, and AC=5AC=5. Let OO denote the circumcenter of ABCABC. The circle Γ\Gamma is tangent to and surrounds the circumcircles of triangle AOBAOB, BOCBOC, and AOCAOC. Determine the diameter of Γ\Gamma.
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