Pythagorean theorem

The Pythagorean theorem: The sum of the areas of the two squares on the legs (the sides that meet at a right angle) equals the area of the square on the hypotenuse (the side opposite the right angle).

In Euclidean geometry, the Pythagorean theorem states that:

The sum of the areas of the squares on the legs of a right triangle is equal to the area of the square on the hypotenuse.

The "legs" are the two sides of the triangle that meet at a right angle. The hypotenuse is the other side—the side opposite the right angle.

The Pythagorean theorem is commonly known by its algebraic notation:

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.