The Pythagorean Theorem 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
A right triangle has legs 9 cm and 12 cm. Find its hypotenuse.
- Add the squares of the two perpendicular lengths.
- Take the positive square root.
Answer: 15 cm
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
A right triangle has legs 6 cm and 8 cm. Find its hypotenuse.
2
A right triangle has legs 9 cm and 12 cm. Find its hypotenuse.
3
A right triangle has legs 12 cm and 16 cm. Find its hypotenuse.
4
A right triangle has legs 3 cm and 4 cm. Find its hypotenuse.
5
A right triangle has legs 15 cm and 20 cm. Find its hypotenuse.
6
A right triangle has legs 12 cm and 16 cm. Find its hypotenuse.
Answer Key
1. 10 cm2. 15 cm3. 20 cm4. 5 cm5. 25 cm6. 20 cm