Pythagorean Theorem Worksheet - Dearborn Public Schools



Pythagorean Theorem Worksheet

Solve for each variable. Round each answer to the nearest tenth. Show all work.

|1. |5. |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|2. |6. |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|3. |7. |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|4. |8. |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|9. |12. Find the length of the diagonal of a square whose side length is 10 inches |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|10. The length of one of the legs in a right triangle is 4 inches. If the hypotenuse is |13. The diagonal crossbar of an old wooden gate has rusted. The gate is |

|12 inches long, what is the length of the other leg? |rectangular, 3 feet by 4 feet. How long is the crossbar (diagonal)? |

| | |

| | |

| | |

| | |

| | |

| | |

|11. Find the length of a diagonal of a square enclosure with a perimeter of 16 feet. |14. What is the diagonal measurement of the TV screen shown in the figure below? |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

|15. A ladder is leaning against the side of a 10m house. |Find the missing length |

|If the base of the ladder is 3m away from the house, | |

|how tall is the ladder? draw a diagram and show |16. a = 3 ; b = 4 ; c = ? |

|all work. | |

| | |

| | |

| | |

| |17. a = 6 ; b = ? ; c = 16 |

| | |

| | |

| | |

| | |

| | |

Determine if the following numbers are Pythagorean triples. Show all work.

|18. 3, 4, 5 |19. 9, 12, 15 |

| | |

| | |

| | |

| | |

|20. 13, 14, 15 |21. 20, 25, 45 |

| | |

| | |

| | |

| | |

22. Use the Pythagorean Theorem to solve for x

-----------------------

8

6

c

3

4

x

a

24

26

10

6

x

12

15

x

5

b

13

6

3

10

x

a

11

[pic]

3

x

6

6

44 in

38 in

x

x+1

7

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download