📏 Algebra & Geometry

Pythagorean Theorem Calculator

Find the missing side of a right triangle instantly.

Pythagorean Theorem Calculator

a² + b² = c²

Overview

What Is the Pythagorean Theorem?

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse (longest side).

Who It's For

For Geometry Students

Useful for finding a missing side length in any right triangle.

Walkthrough

How to Use This Calculator

01

Enter two known sides

Input any two of the three sides (a, b, or c).

02

Leave the unknown side blank

The calculator solves for the missing value.

03

Read your result instantly

The missing side updates automatically.

Tips

Tips & Tricks

FAQ

Frequently Asked Questions

What's the formula?

a² + b² = c², where c is the hypotenuse and a, b are the other two sides.

Which side is the hypotenuse?

The longest side, always opposite the right angle.

Does this work for any triangle?

No, the Pythagorean theorem only applies to right triangles (with one 90-degree angle).

What if I know all three sides?

You could verify whether the triangle is actually a right triangle by checking if a²+b²=c² holds true.

What are Pythagorean triples?

Sets of three whole numbers satisfying the theorem exactly, like 3-4-5 or 5-12-13.

Can side lengths be decimals?

Yes, decimal measurements are fully supported.

Is this useful for construction?

Yes, checking for square corners (using the 3-4-5 rule, for example) is a common practical application.

Is my data saved?

No, calculations happen entirely in your browser.

Can I find the hypotenuse from the two legs?

Yes, entering the two shorter sides (a and b) lets you calculate c (hypotenuse) directly.

Is this tool free?

Yes, completely free with no sign-up required.

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