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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 11 m and 11 m. Give your answer to 1 decimal place.

Answer: 15.6 m

  1. c2 = 112 + 112 = 242
  2. c = √242 ≈ 15.6
2.Find the hypotenuse of a right-angled triangle with shorter sides 5 m and 8 m. Give your answer to 1 decimal place.

Answer: 9.4 m

  1. c2 = 52 + 82 = 89
  2. c = √89 ≈ 9.4
3.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 11 m. Give your answer to 1 decimal place.

Answer: 14.9 m

  1. c2 = 102 + 112 = 221
  2. c = √221 ≈ 14.9
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 6 m and 5 m. Give your answer to 1 decimal place.

Answer: 7.8 m

  1. c2 = 62 + 52 = 61
  2. c = √61 ≈ 7.8
6.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 9 m. Give your answer to 1 decimal place.

Answer: 9.8 m

  1. c2 = 42 + 92 = 97
  2. c = √97 ≈ 9.8
7.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
8.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
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