Prove pythagoras theorem.
There is a geometrical proof that if we square the hypotenuse, it equals the sum of the squares of the sides of a triangle. The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

Symbolic statement	 a^{2}+b^{2}=c^{2}
Below is an instruction that describes a task, paired with an input that provides further context. Write a response that appropriately completes the request.
### Instruction: Prove pythagoras theorem.
### Input: 
### Response: There is a geometrical proof that if we square the hypotenuse, it equals the sum of the squares of the sides of a triangle. The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

Symbolic statement	 a^{2}+b^{2}=c^{2}