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algebra > elementary algebra > inequality > triangle inequality

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triangle inequality  

Definition

  • In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Triangle_inequality)

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