Definition: In geometry, the Pythagorean theorem is a fundamental relationship between the sides of a right triangle. It states that in any right-angled 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. Mathematically, it can be expressed as: c^2 = a^2 + b^2 where c represents the length of the hypotenuse and a