2018 OIM Problems/Problem 6
Problem
Let be an acute triangle with . The perpendicular bisectors of and cut the line at and , respectively. Let and be points other than on the lines and , respectively, such that and , and let be the intersection of the lines and . Let be the midpoint of . Show that .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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