A Square in Math.

In doing a little research I came across this diagram, demonstrating how I could push my theme of a square. 

I then found this ....it shows how Pythagoras uses three squares in his theory for a traingle. It is stated that:

'In any right triangle, 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 whose sides are the two legs (the two sides that meet at a right angle)'

This can also been written as a formulae: