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...

Pythagoras' Theorem


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




Calculate x:
Example of Pythagoras' Theorem    

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.


Calculating sides using Pythagoras' Theorem


Pythagoras problems for you to try


Calculate the length of the unknown side.


Calculating the sides of a triangle


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