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. |
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|2. |6. |
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|3. |7. |
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|4. |8. |
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|9. |12. Find the length of the diagonal of a square whose side length is 10 inches |
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|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)? |
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|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? |
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|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. | |
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| |17. a = 6 ; b = ? ; c = 16 |
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Determine if the following numbers are Pythagorean triples. Show all work.
|18. 3, 4, 5 |19. 9, 12, 15 |
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|20. 13, 14, 15 |21. 20, 25, 45 |
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22. Use the Pythagorean Theorem to solve for x
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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
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