9th Grade Pythagorean Theorem Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.
9th Grade Pythagorean Theorem Worksheet — Level 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 7 m and 8 m. Give your answer to 1 decimal place.
Answer: 10.6 m
- c2 = 72 + 82 = 113
- c = √113 ≈ 10.6
2.Find the hypotenuse of a right triangle with shorter sides 11 m and 10 m. Give your answer to 1 decimal place.
Answer: 14.9 m
- c2 = 112 + 102 = 221
- c = √221 ≈ 14.9
3.Find the hypotenuse of a right triangle with shorter sides 6 m and 9 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 62 + 92 = 117
- c = √117 ≈ 10.8
4.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
5.Find the hypotenuse of a right triangle with shorter sides 11 m and 6 m. Give your answer to 1 decimal place.
Answer: 12.5 m
- c2 = 112 + 62 = 157
- c = √157 ≈ 12.5
6.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
7.Find the hypotenuse of a right triangle with shorter sides 5 m and 12 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 52 + 122 = 169
- c = √169 ≈ 13
8.Find the hypotenuse of a right triangle with shorter sides 10 m and 9 m. Give your answer to 1 decimal place.
Answer: 13.5 m
- c2 = 102 + 92 = 181
- c = √181 ≈ 13.5
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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