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

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==See Also==
 
==See Also==
  
 
[[1961 IMO Problems]]
 
[[1961 IMO Problems]]

Revision as of 19:14, 25 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.


1961 IMO (Problems) • Resources
Preceded by
Problem 1
1 2 3 4 5 6 Followed by
Problem 2
All IMO Problems and Solutions

See Also

1961 IMO Problems