2020 OIM Problems/Problem 1
Problem
Let be an acute triangle such that . The midpoints of sides and are and , respectively. Let and be points on the line such that and . The circumcircle of triangle intersects the line in () and the circumcircle of the triangle intersects the line in (). Show that the lines , and are concurrent.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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