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

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==Problem==
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Let ''a'',''b'', and ''c'' be the lengths of a triangle whose area is ''S''.  Prove that
 
Let ''a'',''b'', and ''c'' be the lengths of a triangle whose area is ''S''.  Prove that
  
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In what case does equality hold?
 
In what case does equality hold?
  
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==Solution==
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{{solution}}
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==See Also==
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[[1961 IMO Problems]]

Revision as of 10:31, 12 October 2007

Problem

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?

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1961 IMO Problems