<|im_start|>user
Prove pythagoras theorem.<|im_end|>
<|im_start|>assistant
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}<|im_end|>
