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Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 2 — Answers

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Year 9 Pythagoras' Theorem Worksheet — Level 3 — 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 10 m and 5 m. Give your answer to 1 decimal place.

Answer: 11.2 m

  1. c2 = 102 + 52 = 125
  2. c = √125 ≈ 11.2
2.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 6 m. Give your answer to 1 decimal place.

Answer: 6.7 m

  1. c2 = 32 + 62 = 45
  2. c = √45 ≈ 6.7
3.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 7 m. Give your answer to 1 decimal place.

Answer: 8.6 m

  1. c2 = 52 + 72 = 74
  2. c = √74 ≈ 8.6
4.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 3 m. Give your answer to 1 decimal place.

Answer: 10.4 m

  1. c2 = 102 + 32 = 109
  2. c = √109 ≈ 10.4
5.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 8 m. Give your answer to 1 decimal place.

Answer: 14.4 m

  1. c2 = 122 + 82 = 208
  2. c = √208 ≈ 14.4
6.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 3 m. Give your answer to 1 decimal place.

Answer: 9.5 m

  1. c2 = 92 + 32 = 90
  2. c = √90 ≈ 9.5
7.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 12 m. Give your answer to 1 decimal place.

Answer: 16.3 m

  1. c2 = 112 + 122 = 265
  2. c = √265 ≈ 16.3
8.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 12 m. Give your answer to 1 decimal place.

Answer: 13.9 m

  1. c2 = 72 + 122 = 193
  2. c = √193 ≈ 13.9
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