Art of Problem Solving

1961 IMO Problems/Problem 2: Difference between revisions

mNo edit summary
1=2 (talk | contribs)
No edit summary
Line 1: Line 1:
==Problem==
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


Line 5: Line 7:
In what case does equality hold?
In what case does equality hold?


{{wikify}}
==Solution==
 
{{solution}}
 
==See Also==
 
[[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