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

Revision as of 20:15, 25 October 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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1961 IMO (Problems) • Resources
Preceded by Problem 1	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 3
All IMO Problems and Solutions

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-{{IMO box|year=1961|num-b=1|num-a=2}}
+{{IMO box|year=1961|num-b=1|num-a=3}}
 ==See Also==
 [[1961 IMO Problems]]