Year 11 Pythagoras' Theorem Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 11 pythagoras' theorem worksheet.
Year 11 · Mathematics · Pythagoras' Theorem
Year 11 Pythagoras' Theorem Worksheet — Level 3 — Answers
Success Tutoring
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 5 m and 9 m. Give your answer to 1 decimal place.
Answer: 10.3 m
- c2 = 52 + 92 = 106
- c = √106 ≈ 10.3
3.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 6 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 42 + 62 = 52
- c = √52 ≈ 7.2
4.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 11 m. Give your answer to 1 decimal place.
Answer: 11.4 m
- c2 = 32 + 112 = 130
- c = √130 ≈ 11.4
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 7 m. Give your answer to 1 decimal place.
Answer: 9.2 m
- c2 = 62 + 72 = 85
- c = √85 ≈ 9.2
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 3 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 82 + 32 = 73
- c = √73 ≈ 8.5
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.
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