2004 OIM Problems/Problem 5
Problem
Given a scalene triangle , Let and the points of intersection of the interior bisectors of angles and with the opposite sides, respectively. Let be the intersection of with the perpendicular bisector of ; be the intersection of with the perpendicular bisector of ; and be the intersection of with the perpendicular bisector of . Prove that , , and are collinear.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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