Year 9 Pythagoras' Theorem Worksheet — Level 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 — 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 12 m and 3 m. Give your answer to 1 decimal place.
Answer: 12.4 m
- c2 = 122 + 32 = 153
- c = √153 ≈ 12.4
2.A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Find the other side.
Answer: 24 cm
- b2 = 252 − 72
- b2 = 625 − 49 = 576
- b = √576 = 24
3.A right-angled triangle has shorter sides of 8 cm and 15 cm. Find the length of the hypotenuse.
Answer: 17 cm
- c2 = 82 + 152
- c2 = 64 + 225 = 289
- c = √289 = 17
4.A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Find the other side.
Answer: 16 cm
- b2 = 202 − 122
- b2 = 400 − 144 = 256
- b = √256 = 16
5.A right-angled triangle has shorter sides of 7 cm and 24 cm. Find the length of the hypotenuse.
Answer: 25 cm
- c2 = 72 + 242
- c2 = 49 + 576 = 625
- c = √625 = 25
6.A right-angled triangle has shorter sides of 9 cm and 40 cm. Find the length of the hypotenuse.
Answer: 41 cm
- c2 = 92 + 402
- c2 = 81 + 1600 = 1681
- c = √1681 = 41
7.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 5 m. Give your answer to 1 decimal place.
Answer: 7.8 m
- c2 = 62 + 52 = 61
- c = √61 ≈ 7.8
8.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 4 m. Give your answer to 1 decimal place.
Answer: 5 m
- c2 = 32 + 42 = 25
- c = √25 ≈ 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.
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