Pythagoras Theorem Proof

Here is an easy worksheet with an animated proof showing how to measure the areas of squares to prove the Pythagoras theorem.

The area of square A is multiplied by its sides which are both the same size a. Therefore, the area is a × a, which gives us a².

The area of square B is b × b, which gives us b².

The area of square C is c × c, which gives us c².

If you were to add the areas of the squares A and B, it will equal the area of square C. This part of the proof is usually a practical one, which children carry out by cutting paper squares and measuring their sides and calculating areas. Since we have the expressions for individual areas, we can substitute them into this equation to give us the one shown below.

As you can see, it turns into the Pythagoras theorem, which is amazing!