2017 OIM Problems/Problem 4
Problem
Let be an acute triangle with and its circumcenter. Let be a point on the segment such that is inside the triangle and . We call and the circumcenters of the triangles and , respectively, and the point of intersection of the lines and . Show that the lines and are concurrent.
Note. The circumcenter of a triangle is the center of the circle that passes through the three vertices of the triangle.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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