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

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Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3 — 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 6 m and 9 m. Give your answer to 1 decimal place.

Answer: 10.8 m

  1. c2 = 62 + 92 = 117
  2. c = √117 ≈ 10.8
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 11 m. Give your answer to 1 decimal place.

Answer: 12.5 m

  1. c2 = 62 + 112 = 157
  2. c = √157 ≈ 12.5
3.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 12 m. Give your answer to 1 decimal place.

Answer: 12.4 m

  1. c2 = 32 + 122 = 153
  2. c = √153 ≈ 12.4
4.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
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 12 m. Give your answer to 1 decimal place.

Answer: 12.6 m

  1. c2 = 42 + 122 = 160
  2. c = √160 ≈ 12.6
7.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
8.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 7 m. Give your answer to 1 decimal place.

Answer: 10.6 m

  1. c2 = 82 + 72 = 113
  2. c = √113 ≈ 10.6
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