pythagorean theorem definition

The Pythagorean Theorem is a fundamental theorem in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The equation is often written as a² + b² = c², where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse. This theorem is named after the ancient Greek mathematician Pythagoras.