Year 9 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 pythagoras' theorem worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Pythagoras' TheoremYear 9 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 4 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 7 m. Give your answer to 1 decimal place.
Answer: 8.1 m
- c2 = 42 + 72 = 65
- c = √65 ≈ 8.1
2.A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 15 cm. Find the other side.
Answer: 20 cm
- b2 = 252 − 152
- b2 = 625 − 225 = 400
- b = √400 = 20
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.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
5.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
6.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
7.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
8.A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Find the other side.
Answer: 15 cm
- b2 = 172 − 82
- b2 = 289 − 64 = 225
- b = √225 = 15
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.