What is the equation of the Pythagorean theorem?

The Pythagorean theorem 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. This relationship is expressed mathematically as (a^2 + b^2 = c^2), where (c) represents the length of the hypotenuse, and (a) and (b) represent the lengths of the other two sides.

Choosing this option correctly reflects the fundamental property used in many areas of mathematics, particularly in geometry and trigonometry, to determine the lengths of the sides of right triangles. It forms the basis for various applications, including distance calculations in coordinate geometry and problems involving right angles in various fields.