## 5.5 Indirect Proof and Inequalities in One Triangle

Indirect Proof- A proof where the statement to be provided is assumed to be false and a contradiction is shown.

5-5-1- If 2 sides of a triangle are not congruent, then the larger angle is opposite the longer side.

5-5-2- If 2 angles of a triangle are not congruent, then the longer side is opposite the larger angle.

5-5-3 Triangle Inequality Theorem the sum of any 2 side lengths of a triangle is greater than the 3rd side length.

5-5-1- If 2 sides of a triangle are not congruent, then the larger angle is opposite the longer side.

5-5-2- If 2 angles of a triangle are not congruent, then the longer side is opposite the larger angle.

5-5-3 Triangle Inequality Theorem the sum of any 2 side lengths of a triangle is greater than the 3rd side length.