1990 OIM Problems/Problem 2
Problem
In a triangle 
, let 
be the center of the inscribed circle and 
, 
and 
be its points of tangency with the sides 
, 
and 
, respectively. Let 
be the other point of intersection of the line 
with the inscribed circle.
If 
is the midpoint of 
, show that the four points , , and belong to the same circle.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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