1. 5.6 Notes Inequalities in One Triangle

2. Comparison Property of Inequality

3. Review: Triangle Exterior Angle Theorem

4. Corollary to the Triangle Exterior Angle Theorem

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

8. Using Theorem 5-10

9. Using Converse of Theorem 5-10

10. Think about it… Can any three side lengths form a triangle?

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

12. Using the Triangle Inequality Theorem Can a triangle have sides with the given lengths? 1)3, 7, 82) 5, 10, 153) 2, 6, 9

13. Finding Possible Side Lengths 1)Two sides of a triangle are 5 ft and 8 ft. What are the possible lengths of the 3 rd side? 2)Two sides of a triangle are 4 ft and 7 ft. What are the possible lengths of the 3 rd side?

14. 5.6 HW Mathxlforschool.com Due Sun at midnight.