Difference between revisions of "2006 Romanian NMO Problems/Grade 7/Problem 1"
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Revision as of 10:16, 27 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 
.
