5.6 Notes Inequalities in One Triangle

Comparison Property of Inequality

Review: Triangle Exterior Angle Theorem

Corollary to the Triangle Exterior Angle Theorem

Applying the Corollary

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

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

Using Theorem 5-10

Using Converse of Theorem 5-10

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

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

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

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?

5.6 HW Mathxlforschool.com Due Sun at midnight.