Difference between revisions of "2001 IMO Shortlist Problems/G1"
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Revision as of 18:39, 20 August 2008
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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