Difference between revisions of "2009 IMO Problems/Problem 4"
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Revision as of 12:03, 10 July 2012
Problem
Let be a triangle with
. The angle bisectors of
and
meet the sides
and
at
and
, respectively. Let
be the incentre of triangle
. Suppose that
. Find all possible values of
.
Authors: Jan Vonk and Peter Vandendriessche, Belgium, and Hojoo Lee, South Korea