2018 OIM Problems/Problem 2
Problem
Let 
be a triangle such that 
and 
. Let 
be the midpoint of 
. A point 
is chosen on the semicircle of diameter that contains 
. The circumcircle of the triangle 
intersects the lines 
and at the points 
and 
, respectively. Show that 
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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