👉 The math I've provided is a simplified explanation of the relationship between the sides and angles of a right-angled triangle, specifically using the Pythagorean theorem. The theorem 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. This can be expressed as \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the other two sides. This relationship is fundamental in geometry and has numerous applications in physics, engineering, and architecture for calculating distances and heights.