2001 OIM Problems/Problem 2
Problem
The circle inscribed in the triangle 
has center 
and is tangent to the sides 
, 
and 
at points 
, 
and 
, respectively. The lines 
and 
intersect to the line 
at points 
and 
, respectively. Show that if the segments 
and 
have the same length, then the triangle is isosceles.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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