Year 10 Pythagoras' Theorem Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 pythagoras' theorem worksheet.
Year 10 · Mathematics · Pythagoras' Theorem
Year 10 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 7 m and 11 m. Give your answer to 1 decimal place.
Answer: 13 m
- c2 = 72 + 112 = 170
- c = √170 ≈ 13
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 4 m. Give your answer to 1 decimal place.
Answer: 7.2 m
- c2 = 62 + 42 = 52
- c = √52 ≈ 7.2
3.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.1 m
- c2 = 52 + 52 = 50
- c = √50 ≈ 7.1
4.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 9 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 62 + 92 = 117
- c = √117 ≈ 10.8
5.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 9 m. Give your answer to 1 decimal place.
Answer: 9.5 m
- c2 = 32 + 92 = 90
- c = √90 ≈ 9.5
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 3 m and 12 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 32 + 122 = 153
- c = √153 ≈ 12.4
8.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
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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