Year 10 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled 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
2.A right-angled triangle has shorter sides of 7 cm and 24 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 72 + 242
- c2 = 49 + 576 = 625
- c = √625 = 25
3.Find the hypotenuse of a right-angled 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-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
5.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 8 m. Give your answer to 1 decimal place.
Answer: 11.3 m
- c2 = 82 + 82 = 128
- c = √128 ≈ 11.3
6.A right-angled triangle has shorter sides of 9 cm and 12 cm. Find the length of the hypotenuse.
Answer: 15 cm
- c2 = 92 + 122
- c2 = 81 + 144 = 225
- c = √225 = 15
7.Find the hypotenuse of a right-angled 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.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
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.