Study Guide
Pythagorean Theorem Explained
Explains the Pythagorean theorem for right 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
Worksheet9th GradeLevel 3 · Challenge
Free 9th Grade Pythagorean Theorem Worksheet — Level 3
Find the hypotenuse or a shorter side of a right triangle. A challenge set for students ready to stretch further. This 9th Grade worksheet has 8 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 9th Grade
- Subject
- Math
- Topic
- Pythagorean Theorem
- Difficulty
- Level 3 · Challenge
- Estimated time
- 20 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practice
- finding the hypotenuse
- finding a shorter side
- rounding to decimal places
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 9th Grade Pythagorean Theorem Worksheet — Level 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?
9th Grade students (typically ages 14–15) working on pythagorean 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 TutoringWorksheets9th Grade · Mathematics · Pythagoras' Theorem9th Grade Pythagorean Theorem Worksheet — Level 3
Name
Date
Score /
Use c² = a² + b², where c is the hypotenuse. Show your work.
1.Find the hypotenuse of a right triangle with shorter sides 7 m and 8 m. Give your answer to 1 decimal place.
2.Find the hypotenuse of a right triangle with shorter sides 11 m and 10 m. Give your answer to 1 decimal place.
3.Find the hypotenuse of a right triangle with shorter sides 6 m and 9 m. Give your answer to 1 decimal place.
4.Find the hypotenuse of a right triangle with shorter sides 6 m and 8 m. Give your answer to 1 decimal place.
5.Find the hypotenuse of a right triangle with shorter sides 11 m and 6 m. Give your answer to 1 decimal place.
6.Find the hypotenuse of a right triangle with shorter sides 3 m and 7 m. Give your answer to 1 decimal place.
7.Find the hypotenuse of a right triangle with shorter sides 5 m and 12 m. Give your answer to 1 decimal place.
8.Find the hypotenuse of a right triangle with shorter sides 10 m and 9 m. Give your answer to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More 9th Grade pythagorean theorem resources
- Worksheet
9th Grade Pythagorean Theorem Worksheet — Level 1
Find the hypotenuse or a shorter side of a right triangle. Builds confidence with the core skill before adding complexity. This 9th Grade…
- Difficulty
- Level 1 · Easier
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
9th Grade Pythagorean Theorem Worksheet — Level 2
Find the hypotenuse or a shorter side of a right triangle. Expected-level practice for this grade. This 9th Grade worksheet has 8…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
Pythagorean Theorem in other year levels
- 10th Grade Pythagorean Theorem Worksheet — Level 1
Worksheet · 10th Grade · Pythagoras' Theorem · Level 1 · Easier
- 10th Grade Pythagorean Theorem Worksheet — Level 2
Worksheet · 10th Grade · 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.