Year 11 Pythagoras' Theorem Worksheet — Level 2 — 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 — Answers
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.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
2.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
3.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 3 m. Give your answer to 1 decimal place.
Answer: 8.5 m
- c2 = 82 + 32 = 73
- c = √73 ≈ 8.5
4.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 9 m. Give your answer to 1 decimal place.
Answer: 12 m
- c2 = 82 + 92 = 145
- c = √145 ≈ 12
5.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 10 m. Give your answer to 1 decimal place.
Answer: 13.5 m
- c2 = 92 + 102 = 181
- c = √181 ≈ 13.5
6.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 10 m. Give your answer to 1 decimal place.
Answer: 11.2 m
- c2 = 52 + 102 = 125
- c = √125 ≈ 11.2
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 4 m. Give your answer to 1 decimal place.
Answer: 8.9 m
- c2 = 82 + 42 = 80
- c = √80 ≈ 8.9
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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