Hypotenuse
In geometry, a hypotenuse is the longest side of a right-angled triangle, opposite the right angle. It can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. The word "hypotenuse" is derived from Greek and has been used since the 4th century BCE. The hypotenuse is exclusive to the right triangle, which has a 90-degree angle as one of its three angles. The hypotenuse theorem, defined by Pythagoras theorem, states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides. It is always the longest side in a right triangle because it is opposite the largest angle, the ninety-degree angle.