For 10 points, name this theorem, which states that the square of a hypotenuse is equivalent to the sums of the squares of the legs of a right triangle.
A three dimensional analog of this law is De Gua's Theorem. The solutions to the equation associated with this law always features two odd numbers, and those numbers are called primitive if their greatest common factor is 1. Euclid proved this relation by using a line that divides a square into two rectangles. It is a specific case of the law of cosines in which one of the angles is ninety degrees. For 10 points, name this theorem, which states that the square of a hypotenuse is equivalent to the sums of the squares of the legs of a right triangle.
A three dimensional analog of this law is De Gua's Theorem. The solutions to the equation associated with this law always features two odd numbers, and those numbers are called primitive if their greatest common factor is 1.
{Pythagorean} Theorem