Difference between revisions of "1961 IMO Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | 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 20:15, 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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
| 1961 IMO (Problems) • Resources | ||
| Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
| All IMO Problems and Solutions | ||
