Difference between revisions of "2005 BMO Problems/Problem 1"
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Latest revision as of 16:19, 26 October 2018
Let 
be an acute-angled triangle whose inscribed circle touches 
and
at 
and 
respectively. Let 
and 
be the points of intersection of the
bisectors of the angles 
and 
with 
and let 
be the midpoint of 
.
Prove that the triangle 
is equilateral if and only if angle 
is equal to 
degrees.
