Difference between revisions of "Triangle Inequality"
(→Introductory Problems: added example AIME problem) |
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=== Introductory Problems === | === Introductory Problems === | ||
* [[2006_AMC_10B_Problems/Problem_10 | 2006 AMC 10B Problem 10]] | * [[2006_AMC_10B_Problems/Problem_10 | 2006 AMC 10B Problem 10]] | ||
| + | * [[2006 AIME II Problems/Problem 2 | 2006 AIME II Problem 2]] | ||
| + | === Intermediate Problems === | ||
| + | * [[2003_AIME_I_Problems/Problem_11 | 2003 AIME I Problem 11]] | ||
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== See Also == | == See Also == | ||
Revision as of 17:36, 7 August 2006
The Triangle Inequality says that in a nondegenerate triangle 
:
That is, the sum of the lengths of any two sides is larger than the length of the third side. In degenerate triangles, the strict inequality must be replaced by "greater than or equal to."
This inequality often shows up in contest problems.
Example Problems
Introductory Problems
Intermediate Problems
See Also
This article is a stub. Help us out by expanding it.
