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Triangular inequality (view source)
Revision as of 05:49, September 20, 2016
, 05:49, September 20, 2016→top: Spelling/Grammar Check & Cleanup, typos fixed: smaller then → smaller than
In a [[triangle]] ABC, any side is smaller then the sum of the other two sides. However, if the three points are aligned, then there may be equality, but it's never possible that ''AC'' > ''AB'' + ''BC''.
In a [[triangle]] ABC, any side is smaller than the sum of the other two sides. However, if the three points are aligned, then there may be equality, but it's never possible that ''AC'' > ''AB'' + ''BC''.
This generalizes in mathematics to the '''trianglar inequality''': in a space where the notion of distance between two points (''d(x,y)'') is defined, the following inequality must hold:
This generalizes in mathematics to the '''trianglar inequality''': in a space where the notion of distance between two points (''d(x,y)'') is defined, the following inequality must hold: