9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.
9th 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 5 m. Give your answer to 1 decimal place.
Answer: 7.1 m
- c2 = 52 + 52 = 50
- c = √50 ≈ 7.1
2.Find the hypotenuse of a right triangle with shorter sides 7 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.9 m
- c2 = 72 + 72 = 98
- c = √98 ≈ 9.9
3.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
4.Find the hypotenuse of a right triangle with shorter sides 3 m and 9 m. Give your answer to 1 decimal place.
Answer: 9.5 m
- c2 = 32 + 92 = 90
- c = √90 ≈ 9.5
5.Find the hypotenuse of a right triangle with shorter sides 6 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.2 m
- c2 = 62 + 72 = 85
- c = √85 ≈ 9.2
6.Find the hypotenuse of a right triangle with shorter sides 11 m and 7 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 112 + 72 = 170
- c = √170 ≈ 13
7.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
8.Find the hypotenuse of a right triangle with shorter sides 4 m and 11 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 42 + 112 = 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.
- Celebrate what went well first, then pick one thing to work on next.