Art of Problem Solving
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Triangle Inequality: Difference between revisions

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In a non-trivial triangle <math>\displaystyle ABC</math>:
In a nondegenerate triangle <math>\displaystyle ABC</math>:


<math>\displaystyle AB + BC > AC</math>
<math>\displaystyle AB + BC > AC</math>

Revision as of 11:52, 25 June 2006

In a nondegenerate triangle $\displaystyle ABC$:

$\displaystyle AB + BC > AC$

$\displaystyle BC + AC > AB$

$\displaystyle AC + AB > BC$

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