2001 IMO Shortlist Problems/G1
Problem
Let 
be the center of the square inscribed in acute triangle 
with two vertices of the square on side 
. Thus one of the two remaining vertices of the square is on side 
and the other is on 
. Points 
are defined in a similar way for inscribed squares with two vertices on sides and , respectively. Prove that lines 
are concurrent.
Solution
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