The Triangle Inequality

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The triangle inequality is usually expressed algebraically using vectors in two dimensions. This Demonstration shows two vectors, and , and their sum . These three vectors form a triangle unless is a multiple of . The triangle inequality states that the sum of the lengths of two sides of a triangle is at least as large as the length of the third side. In symbols, .

Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA


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