How is the pythagorean theorem used to identify side lengths?

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 can be expressed as (a^2 + b^2 = c^2), where (c) is the length of the hypotenuse, and (a) and (b) are the lengths of the other two sides. By knowing the lengths of any two sides, you can use this theorem to calculate the length of the third side. This principle is widely used in various fields, including construction, navigation, and physics.