Pythagorean Theorem Calculator - Find Hypotenuse with Steps
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Pythagorean Theorem Calculator

Find the hypotenuse from two right-triangle legs

Pythagorean Theorem Formula

a² + b² = c²

The Pythagorean theorem relates the two legs of a right triangle to the hypotenuse. Squaring each leg and adding the results gives c squared, and the square root gives c.

This calculator assumes a and b are the legs of a right triangle. It does not apply to non-right triangles.

How the Pythagorean Theorem Works

The theorem connects side lengths in right triangles. It is also the foundation of the coordinate distance formula.

Right Triangle

The formula requires a 90-degree angle.

Legs

a and b are the perpendicular sides.

Hypotenuse

c is the longest side.

Square Root

Take the square root after adding squares.

💡 Example: For a=5 and b=12, c=√(25+144)=13.

Applications of Pythagorean Theorem

ConstructionCoordinate DistanceNavigationTrigonometry

Frequently Asked Questions

What is a Pythagorean theorem calculator?
It uses two legs of a right triangle to calculate the hypotenuse.
What is the Pythagorean theorem formula?
The formula is a²+b²=c², where c is the hypotenuse.
How do I use this calculator?
Enter the two leg lengths and click Calculate.
Does this work for non-right triangles?
No. The Pythagorean theorem applies only to right triangles.
Where is the Pythagorean theorem used?
It is used in distance, construction, navigation, coordinate geometry, and trigonometry.

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