Pythagorean Theorem Word Problems 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 path goes 9 m east and 12 m north. What is the straight-line distance from start to finish?
- Add the squares of the two perpendicular lengths.
- Take the positive square root.
Answer: 15 m
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 path goes 6 m east and 8 m north. What is the straight-line distance from start to finish?
2
A path goes 9 m east and 12 m north. What is the straight-line distance from start to finish?
3
A path goes 12 m east and 16 m north. What is the straight-line distance from start to finish?
4
A path goes 3 m east and 4 m north. What is the straight-line distance from start to finish?
5
A path goes 15 m east and 20 m north. What is the straight-line distance from start to finish?
6
A path goes 12 m east and 16 m north. What is the straight-line distance from start to finish?
Answer Key
1. 10 m2. 15 m3. 20 m4. 5 m5. 25 m6. 20 m