10th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade pythagorean theorem worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Pythagoras' Theorem10th 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 6 m and 6 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 62 + 62 = 72
- c = √72 ≈ 8.5
2.Find the hypotenuse of a right triangle with shorter sides 8 m and 12 m. Give your answer to 1 decimal place.
Answer: 14.4 m
- c2 = 82 + 122 = 208
- c = √208 ≈ 14.4
3.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
4.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
5.Find the hypotenuse of a right triangle with shorter sides 12 m and 4 m. Give your answer to 1 decimal place.
Answer: 12.6 m
- c2 = 122 + 42 = 160
- c = √160 ≈ 12.6
6.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
7.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
8.Find the hypotenuse of a right triangle with shorter sides 8 m and 10 m. Give your answer to 1 decimal place.
Answer: 12.8 m
- c2 = 82 + 102 = 164
- c = √164 ≈ 12.8
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.