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
WorksheetYear 9Level 1 · Easier
Free 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 Year 9 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 9
- Subject
- Mathematics
- Topic
- Pythagoras' Theorem
- Difficulty
- Level 1 · Easier
- Estimated time
- 20 minutes
- Curriculum
- Australian Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- finding the hypotenuse
- recognising Pythagorean triples
- 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 1
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 1 · easier; a harder 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 Year 9 Pythagoras' Theorem Worksheet — Level 2.
Preview
Year 9 · Mathematics · Pythagoras' Theorem
Year 9 Pythagoras' Theorem Worksheet — Level 1
Success Tutoring
Student name:
Date:
Score: /
Use c² = a² + b², where c is the hypotenuse. Show your working.
1.A right-angled triangle has shorter sides of 7 cm and 24 cm. Find the length of the hypotenuse.
2.A right-angled triangle has shorter sides of 20 cm and 21 cm. Find the length of the hypotenuse.
3.A right-angled triangle has shorter sides of 5 cm and 12 cm. Find the length of the hypotenuse.
4.A right-angled triangle has shorter sides of 8 cm and 15 cm. Find the length of the hypotenuse.
5.A right-angled triangle has shorter sides of 3 cm and 4 cm. Find the length of the hypotenuse.
6.A right-angled triangle has shorter sides of 9 cm and 12 cm. Find the length of the hypotenuse.
7.A right-angled triangle has shorter sides of 6 cm and 8 cm. Find the length of the hypotenuse.
8.A right-angled triangle has shorter sides of 9 cm and 40 cm. Find the length of the hypotenuse.
Preview — the PDF contains the full resource and answer sheet.
More Year 9 pythagoras' theorem resources
- 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
Pythagoras' Theorem in other year levels
- Year 10 Pythagoras' Theorem Worksheet — Level 3
Worksheet · Year 10 · Pythagoras' Theorem · Level 3 · Challenge
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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.