Difference between revisions of "2006 Romanian NMO Problems/Grade 7/Problem 1"
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Revision as of 08:58, 28 July 2006
Problem
Let be a triangle and the points
and
on the sides
respectively
, such that
. Let
be a point on the line
. Prove that the lines
and
are perpendicular if and only if
is the interior angle bisector of
.