Triangle Inequality: Difference between revisions
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=== Intermediate Problems === | === Intermediate Problems === | ||
* [[2003_AIME_I_Problems/Problem_11 | 2003 AIME I Problem 11]] | * [[2003_AIME_I_Problems/Problem_11 | 2003 AIME I Problem 11]] | ||
== Geometry Resources == | |||
=== Introductory === | |||
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=9 Introduction to Geometry] by [[Richard Rusczyk]] | |||
* [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#beggeom AoPS Introduction to Geometry course] -- Based on the lessons in the book listed above by the same title. | |||
Revision as of 16:39, 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
Geometry Resources
Introductory
- Introduction to Geometry by Richard Rusczyk
- AoPS Introduction to Geometry course -- Based on the lessons in the book listed above by the same title.
See Also
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