# 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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"The Triangle Inequality"

http://demonstrations.wolfram.com/TheTriangleInequality/

Wolfram Demonstrations Project

Published: March 7 2011