Difference between revisions of "1961 IMO Problems/Problem 2"

 
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In what case does equality hold?
 
In what case does equality hold?
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Revision as of 12:15, 6 July 2007

Let a,b, and c be the lengths of a triangle whose area is S. Prove that

$a^2 + b^2 + c^2 \ge 4S\sqrt{3}$

In what case does equality hold?

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