Study Guide
Pythagoras' Theorem Explained
Explains Pythagoras' theorem for right-angled triangles, how to find the hypotenuse, how to find a shorter side, and how to test whether a…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
Extra practice for Year 9 Pythagoras' Theorem Worksheet — Level 3: the same skill with fresh questions.
WorksheetYear 9Level 3 · Challenge
Free Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
Practice Set 3 for Year 9 Pythagoras' Theorem Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 9
- Subject
- Maths
- Topic
- Pythagoras' Theorem
- Difficulty
- Level 3 · Challenge
- Estimated time
- 20 minutes
- Curriculum
- Australian Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practise
- finding the hypotenuse
- finding a shorter side
- rounding to decimal places
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
Year 9 students (typically ages 14–15) working on pythagoras' theorem. It is pitched at level 3 · challenge; an easier version is linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 20 minutes for 8 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Try Trigonometry Cheat Sheet: SOH CAH TOA.
Preview
Success TutoringWorksheetsYear 9 · Mathematics · Pythagoras' TheoremYear 9 Pythagoras' Theorem Worksheet — Level 3 — Practice Set 3
Name
Date
Score /
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 9 m. Give your answer to 1 decimal place.
2.Find the hypotenuse of a right-angled triangle with shorter sides 6 m and 11 m. Give your answer to 1 decimal place.
3.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 12 m. Give your answer to 1 decimal place.
4.Find the hypotenuse of a right-angled triangle with shorter sides 9 m and 9 m. Give your answer to 1 decimal place.
5.Find the hypotenuse of a right-angled triangle with shorter sides 3 m and 6 m. Give your answer to 1 decimal place.
6.Find the hypotenuse of a right-angled triangle with shorter sides 4 m and 12 m. Give your answer to 1 decimal place.
7.Find the hypotenuse of a right-angled triangle with shorter sides 10 m and 3 m. Give your answer to 1 decimal place.
8.Find the hypotenuse of a right-angled triangle with shorter sides 8 m and 7 m. Give your answer to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More Year 9 pythagoras' theorem resources
- Worksheet
Year 9 Pythagoras' Theorem Worksheet — Level 1
Find the hypotenuse or a shorter side of a right-angled triangle. Builds confidence with the core skill before adding complexity. This…
- Difficulty
- Level 1 · Easier
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
Year 9 Pythagoras' Theorem Worksheet — Level 2
Find the hypotenuse or a shorter side of a right-angled triangle. Expected-level practice for this year group. This Year 9 worksheet has 8…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
Year 9 Pythagoras' Theorem Worksheet — Level 3
Find the hypotenuse or a shorter side of a right-angled triangle. A challenge set for students ready to stretch further. This Year 9…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
Pythagoras' Theorem in other year levels
- Year 10 Pythagoras' Theorem Worksheet — Level 1
Worksheet · Year 10 · Pythagoras' Theorem · Level 1 · Easier
- Year 10 Pythagoras' Theorem Worksheet — Level 2
Worksheet · Year 10 · Pythagoras' Theorem · Level 2 · Standard
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.