Difference between revisions of "2009 OIM Problems/Problem 4"
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Revision as of 16:22, 14 December 2023
Problem
Let be a triangle with . Let be the incenter of and the other point of intersection of the exterior bisector of angle with the circumcircle of . The line intersects for the second time the circumcircle of at point . Show that the circumcircles of triangles and are tangent to and , respectively.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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