Difference between revisions of "2001 IMO Shortlist Problems/G3"
(New page: == Problem == Let <math>ABC</math> be a triangle with centroid <math>G</math>. Determine, with proof, the position of the point <math>P</math> in the plane of <math>ABC</math> such that <m...) |
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Revision as of 18:44, 20 August 2008
Problem
Let 
be a triangle with centroid 
. Determine, with proof, the position of the point 
in the plane of such that 
is a minimum, and express this minimum value in terms of the side lengths of .
Solution
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