# Pythagoras' Theorem Math Review Tutorial

math tutorials > pythagoras' theorem

## Pythagorus' Theorem states:

*For any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.*

In a **right-angled triangle**, the side opposite the right
angle is called the **hypotenuse**.

## Step 1

So Pythagorus' Theorem could be shown like this...

** **

We can use this formula to calculate the *length* of an unknown
side in a *right angle triangle*.

### Example

Calculate x:

##

Pythagoras problems for you to try

Calculate the unknown sides.

*Solutions:* 1) 8.5m (1dp) 2) 6.4cm (1dp) 3) 6.7cm (1dp)

## Step 2

When you are given the length of the hypotenuse and are required to calculate the length of one of the other sides in a right-angled triangle, you need to rearrange the Pythagorus' Theorem.

## Pythagoras problems for you to try

Calculate the length of the unknown side.

*Solutions:* 1) 6cm 2) 10.6m (1dp) 3) 8.5cm (1dp)