4.9 Pythagorean Theorem

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

2. Square and Square Roots Start Square it Root it Result

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

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

5. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. x 6 8

6. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x

7. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. x 4 7

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

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

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

12. Practice: Pythagorean Theorem