Difference between revisions of "Triangle Inequality"

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In a nondegenerate triangle <math>\displaystyle ABC</math>:
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The '''Triangle Inequality''' says that in a nondegenerate triangle <math>\displaystyle ABC</math>:
  
 
<math>\displaystyle AB + BC > AC</math>
 
<math>\displaystyle AB + BC > AC</math>
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This inequality often shows up in contest problems.
 
This inequality often shows up in contest problems.
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== Example Problems ==
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=== Introductory Problems ===
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* [[2006_AMC_10B_Problems/Problem_10 | 2006 AMC 10B Problem 10]]
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== See Also ==
 
== See Also ==

Revision as of 23:49, 13 July 2006

The Triangle Inequality says that 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.


Example Problems

Introductory Problems



See Also

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