# Pythagorean Theorem Calculator

Calculate the length of side a, side b, or the hypotenuse c based on the input data in your chosen units, using the Pythagorean Theorem.

**Calculation:**

In addition to the result and the area of the triangle, this calculator also shows the step-by-step calculation process, making it an excellent tool not only for pure calculations but also for learning.

## What is the Pythagorean Theorem?

The Pythagorean Theorem is used to calculate the length of one side of a right triangle when you know the lengths of the other two sides.

The general formula for the Pythagorean Theorem is:

$$ a^{2} + b^{2} = c^{2} $$

Knowing it, we can easily calculate not only the length of the hypotenuse (c) but also, with minor modifications, the lengths of sides a or b.

## How to use this calculator?

- Select whether you want to calculate Hypotenuse, Side A, or Side B length.
- Select the length unit (e.g. centimeters or inches).
- Enter both sides lengths in the specified unit.
- Click "Calculate".
- Check the results and step-by-step calculation process.

## Pythagorean Theorem Formula

There are several formulas we can use depending on what we want to calculate.

### Calculating the length of the Side a

Calculate the square root of the length of the hypotenuse squared minus the length of the side b squared.

### Calculating the length of the Side b

Calculate the square root of the length of the hypotenuse squared minus the length of the side a squared.

### Calculating the length of the Hypotenuse c

Calculate the square root of the sum of the sides squared.

### Calculating the Area of the Right Triangle

Calculate the length of side a multiplied by the length of side b divided by 2.