A² + B² = C²

The equation \(A^2 + B^2 = C^2\) describes the relationship in a right-angled triangle, where \(A\) and \(B\) are the lengths of the legs (the sides forming the right angle), and \(C\) is the length of the hypotenuse (the side opposite the right angle). It states that the square of the hypotenuse equals the sum of the squares of the other two sides. This fundamental principle helps determine unknown side lengths and is widely used in geometry, architecture, and navigation to calculate distances accurately.