1961 IMO Problems/Problem 2: Difference between revisions
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Let | Let <math>a</math>, <math>b</math>, and <math>c</math> be the lengths of a triangle whose area is ''S''. Prove that | ||
<math>a^2 + b^2 + c^2 \ge 4S\sqrt{3}</math> | <math>a^2 + b^2 + c^2 \ge 4S\sqrt{3}</math> | ||
Revision as of 19:15, 25 October 2007
Problem
Let 
, 
, and 
be the lengths of a triangle whose area is S. Prove that
In what case does equality hold?
Solution
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| 1961 IMO (Problems) • Resources | ||
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1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
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