10th Grade Pythagorean Theorem Worksheet — Level 3 — 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 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 3 m and 4 m. Give your answer to 1 decimal place.
Answer: 5 m
- c2 = 32 + 42 = 25
- c = √25 ≈ 5
2.Find the hypotenuse of a right triangle with shorter sides 3 m and 12 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 32 + 122 = 153
- c = √153 ≈ 12.4
3.Find the hypotenuse of a right triangle with shorter sides 3 m and 6 m. Give your answer to 1 decimal place.
Answer: 6.7 m
- c2 = 32 + 62 = 45
- c = √45 ≈ 6.7
4.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
5.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
6.Find the hypotenuse of a right triangle with shorter sides 12 m and 11 m. Give your answer to 1 decimal place.
Answer: 16.3 m
- c2 = 122 + 112 = 265
- c = √265 ≈ 16.3
7.Find the hypotenuse of a right triangle with shorter sides 7 m and 10 m. Give your answer to 1 decimal place.
Answer: 12.2 m
- c2 = 72 + 102 = 149
- c = √149 ≈ 12.2
8.Find the hypotenuse of a right triangle with shorter sides 7 m and 11 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 72 + 112 = 170
- c = √170 ≈ 13
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.