10th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade pythagorean theorem worksheet.
10th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 2 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 5 m and 3 m. Give your answer to 1 decimal place.
Answer: 5.8 m
- c2 = 52 + 32 = 34
- c = √34 ≈ 5.8
2.Find the hypotenuse of a right triangle with shorter sides 3 m and 4 m. Give your answer to 1 decimal place.
Answer: 5 m
- c2 = 32 + 42 = 25
- c = √25 ≈ 5
3.Find the hypotenuse of a right triangle with shorter sides 11 m and 11 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 112 + 112 = 242
- c = √242 ≈ 15.6
4.Find the hypotenuse of a right triangle with shorter sides 9 m and 5 m. Give your answer to 1 decimal place.
Answer: 10.3 m
- c2 = 92 + 52 = 106
- c = √106 ≈ 10.3
5.Find the hypotenuse of a right triangle with shorter sides 4 m and 3 m. Give your answer to 1 decimal place.
Answer: 5 m
- c2 = 42 + 32 = 25
- c = √25 ≈ 5
6.Find the hypotenuse of a right triangle with shorter sides 12 m and 4 m. Give your answer to 1 decimal place.
Answer: 12.6 m
- c2 = 122 + 42 = 160
- c = √160 ≈ 12.6
7.Find the hypotenuse of a right triangle with shorter sides 12 m and 5 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 122 + 52 = 169
- c = √169 ≈ 13
8.Find the hypotenuse of a right triangle with shorter sides 11 m and 4 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 112 + 42 = 137
- c = √137 ≈ 11.7
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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