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Year 10 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 4 — Answers

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Year 10 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 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
2.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 9 m. Give your answer to 1 decimal place.

Answer: 15 m

  1. c2 = 122 + 92 = 225
  2. c = √225 ≈ 15
3.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
4.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 6 m. Give your answer to 1 decimal place.

Answer: 10 m

  1. c2 = 82 + 62 = 100
  2. c = √100 ≈ 10
5.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 9 m. Give your answer to 1 decimal place.

Answer: 14.2 m

  1. c2 = 112 + 92 = 202
  2. c = √202 ≈ 14.2
6.Find the hypotenuse of a right-angled triangle with shorter sides 12 m and 11 m. Give your answer to 1 decimal place.

Answer: 16.3 m

  1. c2 = 122 + 112 = 265
  2. c = √265 ≈ 16.3
7.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 6 m. Give your answer to 1 decimal place.

Answer: 9.2 m

  1. c2 = 72 + 62 = 85
  2. c = √85 ≈ 9.2
8.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 10 m. Give your answer to 1 decimal place.

Answer: 14.1 m

  1. c2 = 102 + 102 = 200
  2. c = √200 ≈ 14.1
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