10th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade pythagorean theorem worksheet.
10th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 3 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 8 m and 5 m. Give your answer to 1 decimal place.
Answer: 9.4 m
- c2 = 82 + 52 = 89
- c = √89 ≈ 9.4
2.Find the hypotenuse of a right triangle with shorter sides 12 m and 12 m. Give your answer to 1 decimal place.
Answer: 17 m
- c2 = 122 + 122 = 288
- c = √288 ≈ 17
3.Find the hypotenuse of a right triangle with shorter sides 3 m and 7 m. Give your answer to 1 decimal place.
Answer: 7.6 m
- c2 = 32 + 72 = 58
- c = √58 ≈ 7.6
4.Find the hypotenuse of a right triangle with shorter sides 6 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 62 + 52 = 61
- c = √61 ≈ 7.8
5.Find the hypotenuse of a right triangle with shorter sides 9 m and 10 m. Give your answer to 1 decimal place.
Answer: 13.5 m
- c2 = 92 + 102 = 181
- c = √181 ≈ 13.5
6.Find the hypotenuse of a right triangle with shorter sides 4 m and 7 m. Give your answer to 1 decimal place.
Answer: 8.1 m
- c2 = 42 + 72 = 65
- c = √65 ≈ 8.1
7.Find the hypotenuse of a right triangle with shorter sides 6 m and 8 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 62 + 82 = 100
- c = √100 ≈ 10
8.Find the hypotenuse of a right triangle with shorter sides 3 m and 5 m. Give your answer to 1 decimal place.
Answer: 5.8 m
- c2 = 32 + 52 = 34
- c = √34 ≈ 5.8
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.
- Celebrate what went well first, then pick one thing to work on next.