On this page we hope to clear up any problems
that you might have with triangle inequality. Scroll
down or click any of the links below to start understanding triangle
Inequalities for two triangles
Quiz on Triangle Inequality
Triangle Inequality Theorem
1. Problem: Can a triangle have the following measures? 3, 10, and 8 9, 17, and 8 Solution: The first set of measures can form a triangle because 3 + 10 is greater than 8 8 + 10 is greater than 3 and 3 + 8 is greater than 10. The second set of measures cannot form a triangle because 9 + 8 is equal to 17.
The two theorems that apply to inequalities in two triangles are
explained below (and illustrated in the figure below).
Take the Quiz on triangle inequality. (Very useful to review or to see if you've really got this topic down.) Do it!