Pythagorean Triples Worksheets
Use a² + b² = c² for right triangles, coordinate distances and contextual problems.
Before you begin
Read labeled dimensions and coordinates. Recall multiplication facts and length units.
Worked example
Do 9, 12, 15 form a Pythagorean triple? Show the squared-sides check.
- 9² + 12² = 225.
- 15² = 225.
- The sums agree.
Answer: Yes
Check your result using the method in the example before moving to the next question.
Choose your level
- Easy: Use small whole-number measurements.
- Medium: Use larger dimensions or combine parts.
- Hard: Solve for a missing measure or explain a relationship.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
Do 6, 8, 10 form a Pythagorean triple? Show the squared-sides check.
2
Do 6, 8, 11 form a Pythagorean triple? Show the squared-sides check.
3
Do 9, 12, 15 form a Pythagorean triple? Show the squared-sides check.
4
Do 12, 16, 21 form a Pythagorean triple? Show the squared-sides check.
5
Do 3, 4, 5 form a Pythagorean triple? Show the squared-sides check.
6
Do 9, 12, 16 form a Pythagorean triple? Show the squared-sides check.
Answer Key
1. Yes2. No3. Yes4. No5. Yes6. No