1. 5-6 Inequalities in One Triangle

2. Comparison Property of Inequality

3. Corollary to the Triangle Exterior Angle Theorem
The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles

4. Problem 1: Applying the Corollary

6. Theorem 5-10
If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side

7. Problem 2: Using Theorem 5-10

8. Theorem 5-11
If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle

9. Problem 3: Using Theorem 5-11

10. Theorem 5-12
The sum of the lengths of any two sides of a triangle is greater than the length of the third side

11. Problem 4: Using the Triangle Inequality Theorem
Can a triangle have side lengths with the given lengths? Explain.

12. Can a triangle have side lengths with the given lengths? Explain.

13. Problem 5: Finding Possible Side Lengths