10th Grade Pythagorean Theorem Worksheet — Level 2 — Practice Set 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 2 — 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 6 m and 9 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 62 + 92 = 117
- c = √117 ≈ 10.8
2.A right triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Find the other side.
Answer: 21 cm
- b2 = 292 − 202
- b2 = 841 − 400 = 441
- b = √441 = 21
3.A right triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Find the other side.
Answer: 12 cm
- b2 = 152 − 92
- b2 = 225 − 81 = 144
- b = √144 = 12
4.Find the hypotenuse of a right triangle with shorter sides 5 m and 6 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 52 + 62 = 61
- c = √61 ≈ 7.8
5.Find the hypotenuse of a right triangle with shorter sides 3 m and 9 m. Give your answer to 1 decimal place.
Answer: 9.5 m
- c2 = 32 + 92 = 90
- c = √90 ≈ 9.5
6.Find the hypotenuse of a right triangle with shorter sides 8 m and 5 m. Give your answer to 1 decimal place.
Answer: 9.4 m
- c2 = 82 + 52 = 89
- c = √89 ≈ 9.4
7.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
8.Find the hypotenuse of a right triangle with shorter sides 5 m and 3 m. Give your answer to 1 decimal place.
Answer: 5.8 m
- c2 = 52 + 32 = 34
- c = √34 ≈ 5.8
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.