1. 4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.

2. StartSquare itRoot itResult Square and Square Roots

3. Simplify each root below and identify as a positive root or a negative root.

4. Applies to Right Triangles Only! leg hypotenuse a b c 9.3 PYTHAGOREAN THEOREM

5. Find the missing side of the right triangle in the 1 centimeter grid below. 8 6 0 1 2 3 4 5 6 7 x

6. Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x 0 1 2 3 4 5 6 7

7. Find the missing side of the right triangle in the 1 centimeter grid below. 7 4 0 1 2 3 4 5 6 7 x

8. Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. 3 in. 4 in. x

9. Find the Hypotenuse To find the hypotenuse, solve for c.To find the hypotenuse, solve for c. 1) 2) a = 3, b = 4, find c.

10. Example: Find a leg You will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b). Example:

11. Example: Find a leg To find a leg, solve for a or b.To find a leg, solve for a or b. 1) 2) b = 30, c = 34 13 12 b

12. Practice: Pythagorean Theorem