9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.
9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 4 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 4 m and 5 m. Give your answer to 1 decimal place.
Answer: 6.4 m
- c2 = 42 + 52 = 41
- c = √41 ≈ 6.4
2.Find the hypotenuse of a right triangle with shorter sides 6 m and 4 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 62 + 42 = 52
- c = √52 ≈ 7.2
3.Find the hypotenuse of a right triangle with shorter sides 9 m and 7 m. Give your answer to 1 decimal place.
Answer: 11.4 m
- c2 = 92 + 72 = 130
- c = √130 ≈ 11.4
4.Find the hypotenuse of a right triangle with shorter sides 12 m and 7 m. Give your answer to 1 decimal place.
Answer: 13.9 m
- c2 = 122 + 72 = 193
- c = √193 ≈ 13.9
5.Find the hypotenuse of a right triangle with shorter sides 4 m and 8 m. Give your answer to 1 decimal place.
Answer: 8.9 m
- c2 = 42 + 82 = 80
- c = √80 ≈ 8.9
6.Find the hypotenuse of a right triangle with shorter sides 10 m and 7 m. Give your answer to 1 decimal place.
Answer: 12.2 m
- c2 = 102 + 72 = 149
- c = √149 ≈ 12.2
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 5 m and 8 m. Give your answer to 1 decimal place.
Answer: 9.4 m
- c2 = 52 + 82 = 89
- c = √89 ≈ 9.4
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.