Success TutoringWorksheets

Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 pythagoras' theorem worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Pythagoras' Theorem

Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 2 — 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 7 m and 10 m. Give your answer to 1 decimal place.

Answer: 12.2 m

  1. c2 = 72 + 102 = 149
  2. c = √149 ≈ 12.2
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 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
4.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 5 m. Give your answer to 1 decimal place.

Answer: 9.4 m

  1. c2 = 82 + 52 = 89
  2. c = √89 ≈ 9.4
5.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
6.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
7.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 3 m. Give your answer to 1 decimal place.

Answer: 5 m

  1. c2 = 42 + 32 = 25
  2. c = √25 ≈ 5
8.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 5 m. Give your answer to 1 decimal place.

Answer: 11.2 m

  1. c2 = 102 + 52 = 125
  2. c = √125 ≈ 11.2
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: