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Pythagoras' Theorem Math Review Tutorial

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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.

 

Example

 

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)