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9.3

Part of 1995 All-Russian Olympiad Regional Round

Problems(1)

fixed circumradius, 2 circles All-Russian MO 1995 Regional (R4) 9.3

Source:

8/26/2024
Two circles with radii RR and rr intersect at CC and DD and are tangent to a line ℓ\ell at AA and BB. Prove that the circumradius of triangle ABCABC does not depend on the length of segment ABAB.
geometrycircumcircle