Year 9 Pythagoras' Theorem Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 pythagoras' theorem worksheet.
Year 9 · Mathematics · Pythagoras' Theorem
Year 9 Pythagoras' Theorem Worksheet — Level 2 — 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 4 m and 9 m. Give your answer to 1 decimal place.
Answer: 9.8 m
- c2 = 42 + 92 = 97
- c = √97 ≈ 9.8
2.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
3.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 3 m. Give your answer to 1 decimal place.
Answer: 4.2 m
- c2 = 32 + 32 = 18
- c = √18 ≈ 4.2
4.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
5.A right-angled triangle has shorter sides of 15 cm and 20 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 152 + 202
- c2 = 225 + 400 = 625
- c = √625 = 25
6.A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Find the other side.
Answer: 40 cm
- b2 = 412 − 92
- b2 = 1681 − 81 = 1600
- b = √1600 = 40
7.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
8.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
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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