Geometry Problem 1148: The Enigmatic Connection:
Exploring Right Triangles, Circles, and Tangents
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Given a right triangle ABC with the circumcircle O, the incircle O1
(with a radius of r1) and the circle O2
(with a radius of r2), which is tangent to AB, BC, and arc AC at points C2, A2, and B2, respectively,
the objective is to prove that r2 = 2r1.
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