Year 9 Pythagoras' Theorem Worksheet — Level 3 — 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 3 — 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 10 m and 3 m. Give your answer to 1 decimal place.
Answer: 10.4 m
- c2 = 102 + 32 = 109
- c = √109 ≈ 10.4
2.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 4 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 112 + 42 = 137
- c = √137 ≈ 11.7
3.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
4.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.9 m
- c2 = 72 + 72 = 98
- c = √98 ≈ 9.9
5.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 11 m. Give your answer to 1 decimal place.
Answer: 13.6 m
- c2 = 82 + 112 = 185
- c = √185 ≈ 13.6
6.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 12 m. Give your answer to 1 decimal place.
Answer: 13.4 m
- c2 = 62 + 122 = 180
- c = √180 ≈ 13.4
7.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 5 m. Give your answer to 1 decimal place.
Answer: 11.2 m
- c2 = 102 + 52 = 125
- c = √125 ≈ 11.2
8.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 6 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 52 + 62 = 61
- c = √61 ≈ 7.8
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.