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Year 10 Pythagoras' Theorem Worksheet — Level 3 — Answers

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Year 10 · Mathematics · Pythagoras' Theorem

Year 10 Pythagoras' Theorem Worksheet — Level 3 — Answers

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Use c² = a² + b², where c is the hypotenuse. Show your working.

1.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 9 m. Give your answer to 1 decimal place.

Answer: 10.3 m

  1. c2 = 52 + 92 = 106
  2. c = √106 ≈ 10.3
2.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
3.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

  1. c2 = 52 + 102 = 125
  2. c = √125 ≈ 11.2
4.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 6 m. Give your answer to 1 decimal place.

Answer: 12.5 m

  1. c2 = 112 + 62 = 157
  2. c = √157 ≈ 12.5
5.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 10 m. Give your answer to 1 decimal place.

Answer: 12.8 m

  1. c2 = 82 + 102 = 164
  2. c = √164 ≈ 12.8
6.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
7.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 3 m. Give your answer to 1 decimal place.

Answer: 6.7 m

  1. c2 = 62 + 32 = 45
  2. c = √45 ≈ 6.7
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

  1. c2 = 32 + 112 = 130
  2. c = √130 ≈ 11.4
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