Art of Problem Solving

Triangle Inequality: Difference between revisions

Added See Also
MCrawford (talk | contribs)
began example problem section and wikified
Line 1: Line 1:
In a nondegenerate triangle <math>\displaystyle ABC</math>:
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>
Line 8: Line 8:


This inequality often shows up in contest problems.
This inequality often shows up in contest problems.
== Example Problems ==
=== Introductory Problems ===
* [[2006_AMC_10B_Problems/Problem_10 | 2006 AMC 10B Problem 10]]


== 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

This article is a stub. Help us out by expanding it.