1995 USAMO Problems/Problem 3
From AoPSWiki
Given a nonisosceles, nonright triangle 
let 
denote the center of its circumscribed circle, and let 
and 
be the midpoints of sides 
and 
respectively. Point 
is located on the ray 
so that 
is similar to 
. Points 
and 
on rays 
and 
respectively, are defined similarly. Prove that lines 
and 
are concurrent, i.e. these three lines intersect at a point.
