The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a2 + b2 = c2.
If a is a rational number and b is a rational number, why could c be an irrational number?
because you are adding two numbers (a^2 and b^2) and doing the square root to find the third number. Square roots are not rational unless they are of a perfect square
