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Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 4 — Answers

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Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 4 — 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 9 m and 11 m. Give your answer to 1 decimal place.

Answer: 14.2 m

  1. c2 = 92 + 112 = 202
  2. c = √202 ≈ 14.2
2.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

  1. c2 = 92 + 102 = 181
  2. c = √181 ≈ 13.5
3.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 6 m. Give your answer to 1 decimal place.

Answer: 10.8 m

  1. c2 = 92 + 62 = 117
  2. c = √117 ≈ 10.8
4.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

  1. c2 = 72 + 112 = 170
  2. c = √170 ≈ 13
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 9 m. Give your answer to 1 decimal place.

Answer: 12.7 m

  1. c2 = 92 + 92 = 162
  2. c = √162 ≈ 12.7
7.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

  1. c2 = 82 + 92 = 145
  2. c = √145 ≈ 12
8.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 8 m. Give your answer to 1 decimal place.

Answer: 10 m

  1. c2 = 62 + 82 = 100
  2. c = √100 ≈ 10
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