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# Pythagorean Theorem Calculator

To use Pythagorean theorem calculator, select the option & fill the required input fields and hit calculate button

## Pythagorean Theorem Calculator

Pythagorean Theorem Calculator is a geometry assistant tool. It uses Pythagoras’ formula to find the three sides of a right triangle. You can find the hypotenuse or any of the other two sides.

## How to use the Pythagoras theorem calculator?

Follow the steps given below.

- Choose the side of the
**triangle**you want to find e.g. hypotenuse. - Enter the value of the other two
**sides**. - Click
**calculate**. - The result will appear in a second.

You can use it multiple times for free by resetting the calculator.

## What is the Pythagorean theorem?

The word **Pythagorean **comes from a famous Greek scientist **Pythagoras **who proved this theorem for the first time. It states that:

“The area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the **areas **of the squares on the other two sides.”

It can be used to derive the hypotenuse equation in which the hypotenuse is equal to the under-root of the sum of the squares of the other two lengths. It is written as:

`c`

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

Where **c** is the longer side opposite to the right angle known as hypotenuse. The letter **a** usually represents the adjacent side and the letter **b** represents the other side.

This equation is also known as the **Pythagorean equation**.

## Formulas for the three sides from the Pythagorean equation

The equation can be arranged to find the length of any side.

**For hypotenuse:**`√`

`(a`

^{2}+ b^{2})

**For side a:**`√(b`

^{2}- c^{2})**For side b:**`√(a`

^{2}- c^{2})

## Finding sides using the Pythagoras theorem

It never hurts to see an example, does it!?

**Example:**

Find the missing side for the following triangle.

**Solution:**

**Step 1:** Identify the given data.

a = 10

b = 23

**Step 2:** Put in the Pythagorean equation.

`c`

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

c^{2} = (10)^{2} + (23)^{2}

c^{2} = 100 + 529

`c`

^{2} = 629

**Step 3:** Take square roots on both sides.

c = √629

**c =** **25.1**