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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