1. Standard: MG 3.3 Objective: Find the missing side of a right triangle.
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. Find the missing side of the right triangle in
the 1 centimeter grid below. x 6 8

6. Find the missing side of the right triangle in
the 1 centimeter grid below. 12 5 x

7. Find the missing side of the right triangle in
the 1 centimeter grid below. 4 x 7

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

9. Find the Hypotenuse 2) a = 3, b = 4, find 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 2) b = 30, c = 34 1)
To find a leg, solve for a or b. 1)
2) b = 30, c = 34 13 12 b

12. Practice: Pythagorean Theorem