1998 OIM Problems/Problem 2
Problem
The circle inscribed in the triangle 
is tangent to the sides 
, 
, and 
at the points 
, 
, and 
, respectively. 
cuts the circle at a second point 
. Show that the line 
passes through the midpoint of 
if, and only if, 
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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