Difference between revisions of "2001 IMO Shortlist Problems/G7"
(New page: == Problem == Let <math>O</math> be an interior point of acute triangle <math>ABC</math>. Let <math>A_1</math> lie on <math>BC</math> with <math>OA_1</math> perpendicular to <math>BC</math...) |
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Latest revision as of 17:50, 20 August 2008
Problem
Let 
be an interior point of acute triangle 
. Let 
lie on 
with 
perpendicular to . Define 
on 
and 
on 
similarly. Prove that is the circumcenter of if and only if the perimeter of 
is not less than any one of the perimeters of 
, and 
.
Solution
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