1. CHAPTER 8: RIGHT TRIANGLES 8.2 THE PYTHAGOREAN THEOREM

2. PYTHAGORAS Pythagoras was an ancient Greek mathematician and philosopher. He invented the Pythagorean Theorem, one of the best known theorems in all of math.

3. THEOREM 8-2 THEOREM 8-2 The Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. a² + b² = c² a b c a b cc

4. PYTHAGOREAN THEOREM When using the Pythagorean Theorem, be sure to let a and b represent the lengths of the legs of the right triangle while c represents the length of the hypotenuse. ***Note: It does not matter which leg you identify as a or b, but c must be the hypotenuse. a b c

5. EXAMPLE Find Y: 1. 2. 5 y 10 y y - 15

6. PRACTICE Find the value of each variable 1. 2. 3. x 2 3 4 y 6 x 4 x

7. CLASSWORK/HOMEWORK 8.2 Assignment Pg. 291, Classroom Exercises 2-18 even Pg. 292, Written Exercises 2-32 every other even.