Difference between revisions of "2005 Canadian MO Problems/Problem 4"
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==Problem== | ==Problem== | ||
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Let <math>ABC</math> be a triangle with circumradius <math>R</math>, perimeter <math>P</math> and area <math>K</math>. Determine the maximum value of <math>KP/R^3</math>. | Let <math>ABC</math> be a triangle with circumradius <math>R</math>, perimeter <math>P</math> and area <math>K</math>. Determine the maximum value of <math>KP/R^3</math>. | ||
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==Solution== | ==Solution== | ||
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==See also== | ==See also== | ||
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*[[2005 Canadian MO]] | *[[2005 Canadian MO]] | ||
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| + | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 14:19, 4 September 2006
Problem
Let 
be a triangle with circumradius 
, perimeter 
and area 
. Determine the maximum value of 
.
