Pythagorean Theorem Calculator
Solve for hypotenuse or leg of a right triangle.
About this tool
The Pythagorean theorem relates the three sides of a right triangle: a\u00b2 + b\u00b2 = c\u00b2, where c is the hypotenuse. Pick which side you need and enter the other two.
Key Features
- Solve for the hypotenuse or either leg
- Validates that a leg can't be longer than the hypotenuse
- Standard right-triangle geometry
How to Use
- Choose which side to solve for.
- Enter the other two side lengths.
- Click Calculate.
Benefits
- Check geometry homework
- Calculate diagonal distances and right-angle layouts
- Useful for construction, carpentry and design
Frequently Asked Questions
Yes \u2014 the Pythagorean theorem specifically applies to right triangles (triangles with one 90\u00b0 angle). For any other triangle, use the Triangle Area Calculator or the law of cosines instead.
The hypotenuse is always the longest side, opposite the right angle \u2014 it's never one of the two legs that form the right angle itself.