2008 OIM Problems/Problem 2
Problem
Let 
be a scalene triangle and 
be the external bisector of the angle 
. 
and 
are considered the feet of the perpendiculars to the line that pass through 
and 
respectively. Lines 
and 
intersect at 
and lines 
and 
intersect at 
. Show that the lines 
and have a point in common.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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