Year 9 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.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
2.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 6 m. Give your answer to 1 decimal place.
Answer: 13.4 m
- c2 = 122 + 62 = 180
- c = √180 ≈ 13.4
3.A right-angled triangle has shorter sides of 12 cm and 16 cm. Find the length of the hypotenuse.
Answer: 20 cm
- c2 = 122 + 162
- c2 = 144 + 256 = 400
- c = √400 = 20
4.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 8 m. Give your answer to 1 decimal place.
Answer: 9.4 m
- c2 = 52 + 82 = 89
- c = √89 ≈ 9.4
5.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 12 m. Give your answer to 1 decimal place.
Answer: 16.3 m
- c2 = 112 + 122 = 265
- c = √265 ≈ 16.3
6.A right-angled triangle has shorter sides of 6 cm and 8 cm. Find the length of the hypotenuse.
Answer: 10 cm
- c2 = 62 + 82
- c2 = 36 + 64 = 100
- c = √100 = 10
7.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 9 m. Give your answer to 1 decimal place.
Answer: 14.2 m
- c2 = 112 + 92 = 202
- c = √202 ≈ 14.2
8.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 12 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 102 + 122 = 244
- c = √244 ≈ 15.6
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.