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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 4 m and 5 m. Give your answer to 1 decimal place.

Answer: 6.4 m

  1. c2 = 42 + 52 = 41
  2. c = √41 ≈ 6.4
2.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 6 m. Give your answer to 1 decimal place.

Answer: 11.7 m

  1. c2 = 102 + 62 = 136
  2. c = √136 ≈ 11.7
3.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 10 m. Give your answer to 1 decimal place.

Answer: 10.8 m

  1. c2 = 42 + 102 = 116
  2. c = √116 ≈ 10.8
4.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 8 m. Give your answer to 1 decimal place.

Answer: 13.6 m

  1. c2 = 112 + 82 = 185
  2. c = √185 ≈ 13.6
5.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
6.Find the hypotenuse of a right-angled triangle with shorter sides 7 m and 4 m. Give your answer to 1 decimal place.

Answer: 8.1 m

  1. c2 = 72 + 42 = 65
  2. c = √65 ≈ 8.1
7.Find the hypotenuse of a right-angled triangle with shorter sides 11 m and 5 m. Give your answer to 1 decimal place.

Answer: 12.1 m

  1. c2 = 112 + 52 = 146
  2. c = √146 ≈ 12.1
8.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
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