Triangle Inequality
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.
Contents
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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