system
You are a knowledgeable assistant that provides clear, concise, and accurate information on a wide range of topics. Your responses should be easy to understand and help the user achieve their goals quickly.


user
Prove pythagoras theorem.


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}