Art of Problem Solving

Triangle Inequality: Difference between revisions

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<math>\displaystyle AC + AB > BC</math>
<math>\displaystyle AC + AB > BC</math>
This inequality often shows up in contest problems.
== See Also ==
*[[Algebra]]
*[[Inequality]]
*[[Geometric inequalities]]
*[[Triangle]]


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Revision as of 00:14, 7 July 2006

In a nondegenerate triangle $\displaystyle ABC$:

$\displaystyle AB + BC > AC$

$\displaystyle BC + AC > AB$

$\displaystyle AC + AB > BC$

This inequality often shows up in contest problems.

See Also

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