9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Pythagoras' Theorem9th 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 12 m and 3 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 122 + 32 = 153
- c = √153 ≈ 12.4
2.Find the hypotenuse of a right triangle with shorter sides 12 m and 6 m. Give your answer to 1 decimal place.
Answer: 13.4 m
- c2 = 122 + 62 = 180
- c = √180 ≈ 13.4
3.Find the hypotenuse of a right triangle with shorter sides 9 m and 6 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 92 + 62 = 117
- c = √117 ≈ 10.8
4.Find the hypotenuse of a right triangle with shorter sides 7 m and 4 m. Give your answer to 1 decimal place.
Answer: 8.1 m
- c2 = 72 + 42 = 65
- c = √65 ≈ 8.1
5.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
6.Find the hypotenuse of a right triangle with shorter sides 12 m and 10 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 122 + 102 = 244
- c = √244 ≈ 15.6
7.Find the hypotenuse of a right triangle with shorter sides 10 m and 8 m. Give your answer to 1 decimal place.
Answer: 12.8 m
- c2 = 102 + 82 = 164
- c = √164 ≈ 12.8
8.Find the hypotenuse of a right triangle with shorter sides 4 m and 4 m. Give your answer to 1 decimal place.
Answer: 5.7 m
- c2 = 42 + 42 = 32
- c = √32 ≈ 5.7
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.