## 2.9b Converse of the Pythagorean Theorem

**Objective**: To solve problems using the

**Triangle Inequality Theorem**and the

**Converse of the Pythagorean Theorem**.

**CCSS Standard:**8.G.6

The

*Triangle Inequality Theorem*states that the sum of the lengths of**ANY**two sides of a triangle (not just a right triangle) must be greater than the length of the third side.Before deciding if a triangle is a right triangle using the Pythagorean Theorem, determine if it can be a general triangle.

Add any two side. The sum must be greater than the remaining sides.

Continue for each pair of sides.

The

**Converse of the Pythagorean Theorem**is simpler than the name makes it sound. Basically, for this you plug in the correct numbers for A, B, & C and see if the math works out. If it does, the triangle is a right triangle. If the math does not work, it is not a right triangle.