Difference between revisions of "Triangle Inequality"

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.

@@ 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>
@@ Line 8: / Line 8: @@
 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 ==