Year 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 pythagoras' theorem worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Pythagoras' TheoremYear 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 3 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Find the other side.
Answer: 16 cm
- b2 = 202 − 122
- b2 = 400 − 144 = 256
- b = √256 = 16
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 62 + 52 = 61
- c = √61 ≈ 7.8
3.A right-angled triangle has shorter sides of 9 cm and 40 cm. Find the length of the hypotenuse.
Answer: 41 cm
- c2 = 92 + 402
- c2 = 81 + 1600 = 1681
- c = √1681 = 41
4.Find the hypotenuse of a right-angled 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
5.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 6 m. Give your answer to 1 decimal place.
Answer: 9.2 m
- c2 = 72 + 62 = 85
- c = √85 ≈ 9.2
6.A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Find the other side.
Answer: 12 cm
- b2 = 132 − 52
- b2 = 169 − 25 = 144
- b = √144 = 12
7.Find the hypotenuse of a right-angled 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
8.A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Find the other side.
Answer: 24 cm
- b2 = 252 − 72
- b2 = 625 − 49 = 576
- b = √576 = 24
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.