2004 OIM Problems/Problem 5
Problem
Given a scalene triangle 
, Let 
and 
the points of intersection of the interior bisectors of angles 
and 
with the opposite sides, respectively. Let 
be the intersection of 
with the perpendicular bisector of 
; 
be the intersection of 
with the perpendicular bisector of 
; and 
be the intersection of 
with the perpendicular bisector of 
. Prove that , , and are collinear.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
