Year 11 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 pythagoras' theorem worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Pythagoras' TheoremYear 11 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 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 11 m and 11 m. Give your answer to 1 decimal place.
Answer: 15.6 m
- c2 = 112 + 112 = 242
- c = √242 ≈ 15.6
2.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
3.A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Find the other side.
Answer: 12 cm
- b2 = 132 − 52
- b2 = 169 − 25 = 144
- b = √144 = 12
4.A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Find the other side.
Answer: 15 cm
- b2 = 172 − 82
- b2 = 289 − 64 = 225
- b = √225 = 15
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 10 m. Give your answer to 1 decimal place.
Answer: 14.1 m
- c2 = 102 + 102 = 200
- c = √200 ≈ 14.1
7.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 10 m. Give your answer to 1 decimal place.
Answer: 10.8 m
- c2 = 42 + 102 = 116
- c = √116 ≈ 10.8
8.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
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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