Difference between revisions of "2004 OIM Problems/Problem 5"
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Latest revision as of 17:32, 14 December 2023
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
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