Year 11 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled triangle has shorter sides of 9 cm and 12 cm. Find the length of the hypotenuse.
Answer: 15 cm
- c2 = 92 + 122
- c2 = 81 + 144 = 225
- c = √225 = 15
2.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 6 m. Give your answer to 1 decimal place.
Answer: 12.5 m
- c2 = 112 + 62 = 157
- c = √157 ≈ 12.5
3.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 5 m. Give your answer to 1 decimal place.
Answer: 10.3 m
- c2 = 92 + 52 = 106
- c = √106 ≈ 10.3
4.A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Find the other side.
Answer: 4 cm
- b2 = 52 − 32
- b2 = 25 − 9 = 16
- b = √16 = 4
5.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 4 m. Give your answer to 1 decimal place.
Answer: 12.6 m
- c2 = 122 + 42 = 160
- c = √160 ≈ 12.6
6.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 12 m. Give your answer to 1 decimal place.
Answer: 14.4 m
- c2 = 82 + 122 = 208
- c = √208 ≈ 14.4
7.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 3 m. Give your answer to 1 decimal place.
Answer: 11.4 m
- c2 = 112 + 32 = 130
- c = √130 ≈ 11.4
8.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
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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