Year 11 Pythagoras' Theorem Worksheet — Level 2 — Practice Set 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 — Practice Set 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 11 m and 4 m. Give your answer to 1 decimal place.
Answer: 11.7 m
- c2 = 112 + 42 = 137
- c = √137 ≈ 11.7
2.A right-angled triangle has shorter sides of 5 cm and 12 cm. Find the length of the hypotenuse.
Answer: 13 cm
- c2 = 52 + 122
- c2 = 25 + 144 = 169
- c = √169 = 13
3.A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Find the other side.
Answer: 21 cm
- b2 = 292 − 202
- b2 = 841 − 400 = 441
- b = √441 = 21
4.A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Find the other side.
Answer: 8 cm
- b2 = 102 − 62
- b2 = 100 − 36 = 64
- b = √64 = 8
5.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
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.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
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
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