📐

Pythagorean Theorem

basic

a²+b²=c²

Formula

a²+b²=c²

Save Configuration Snapshot

Save current parameters to your dashboard for instant one-click reloading.

🧭

What to Calculate Next

Continue your analysis with related tools

About This Calculator & Guide

About the Pythagorean Theorem — Math Calculator

The Pythagorean Theorem is a fundamental relation in Euclidean geometry. It states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Formula & Calculation Method

The standard mathematical relationship used for this calculation is:

Hypotenuse: c = √(a² + b²); Side A: a = √(c² - b²); Side B: b = √(c² - a²)

Worked Step-by-Step Example

For a right triangle with sides a = 3 cm and b = 4 cm: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.

How to Use

  1. Identify the two sides of the right triangle you already know.
  2. Enter their values in the input fields.
  3. The calculator solves for the third missing side length automatically.

FAQ

Frequently Asked Questions

What does the Pythagorean Theorem do?+

a²+b²=c² It is designed for quick everyday use and gives clear results without requiring a sign in.

Is the Pythagorean Theorem free to use?+

Yes. The Pythagorean Theorem is free to use online and works directly in your browser.

Can I use the Pythagorean Theorem on mobile?+

Yes. The calculator layout is responsive, so you can use it on phones, tablets, laptops, and desktop screens.