Difference between revisions of "Triangle Inequality"
Revision as of 20:26, 20 December 2007
The Triangle Inequality can also be extended to other polygons. The lengths can only be the sides of a nondegenerate -gon if for . Expressing the inequality in this form leads to , where is the sum of the , or . Stated in another way, it says that in every polygon, each side must be smaller than the semiperimeter.
- Belarus 2002 Aops Topic
Given , prove:
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