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 3 cm and 4 cm. Find the length of the hypotenuse.
Answer: 5 cm
- c2 = 32 + 42
- c2 = 9 + 16 = 25
- c = √25 = 5
3.Find the hypotenuse of a right-angled 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
4.A right-angled triangle has shorter sides of 20 cm and 21 cm. Find the length of the hypotenuse.
Answer: 29 cm
- c2 = 202 + 212
- c2 = 400 + 441 = 841
- c = √841 = 29
5.A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Find the other side.
Answer: 4 cm
- b2 = 52 − 32
- b2 = 25 − 9 = 16
- b = √16 = 4
6.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 6 m. Give your answer to 1 decimal place.
Answer: 10 m
- c2 = 82 + 62 = 100
- c = √100 ≈ 10
7.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
8.A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Find the other side.
Answer: 40 cm
- b2 = 412 − 92
- b2 = 1681 − 81 = 1600
- b = √1600 = 40
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.