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9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade pythagorean theorem worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Pythagoras' Theorem

9th Grade Pythagorean Theorem Worksheet — Level 3 — Practice Set 4 — Answers

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

1.Find the hypotenuse of a right 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 triangle with shorter sides 6 m and 4 m. Give your answer to 1 decimal place.

Answer: 7.2 m

  1. c2 = 62 + 42 = 52
  2. c = √52 ≈ 7.2
3.Find the hypotenuse of a right triangle with shorter sides 9 m and 7 m. Give your answer to 1 decimal place.

Answer: 11.4 m

  1. c2 = 92 + 72 = 130
  2. c = √130 ≈ 11.4
4.Find the hypotenuse of a right triangle with shorter sides 12 m and 7 m. Give your answer to 1 decimal place.

Answer: 13.9 m

  1. c2 = 122 + 72 = 193
  2. c = √193 ≈ 13.9
5.Find the hypotenuse of a right triangle with shorter sides 4 m and 8 m. Give your answer to 1 decimal place.

Answer: 8.9 m

  1. c2 = 42 + 82 = 80
  2. c = √80 ≈ 8.9
6.Find the hypotenuse of a right triangle with shorter sides 10 m and 7 m. Give your answer to 1 decimal place.

Answer: 12.2 m

  1. c2 = 102 + 72 = 149
  2. c = √149 ≈ 12.2
7.Find the hypotenuse of a right triangle with shorter sides 12 m and 5 m. Give your answer to 1 decimal place.

Answer: 13 m

  1. c2 = 122 + 52 = 169
  2. c = √169 ≈ 13
8.Find the hypotenuse of a right 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
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