What is the length of the hypotenuse?

The hypotenuse is the longest side of a right-angled triangle and is located opposite the right angle. It is also the side that is directly opposite the 90-degree angle in the triangle. The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In other words, if the lengths of the other two sides of the right triangle are given as a and b, then the length of the hypotenuse (c) can be calculated as:

c = √(a² + b²)

This formula is essential for determining the length of the hypotenuse in a right triangle and is widely used in geometry and trigonometry.