hüpotenuus

The hypotenuse is a term used in the context of right-angled triangles, which are triangles that have one angle measuring exactly 90 degrees. In a right-angled triangle, the hypotenuse is the side that is opposite the right angle. It is the longest side of the triangle and is always opposite to the right angle. The other two sides of the right-angled triangle are known as the legs or catheti. The relationship between the lengths of the sides of a right-angled triangle is described by the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a^2 + b^2 = c^2, where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. The hypotenuse plays a crucial role in various fields, including geometry, trigonometry, and engineering, where it is used to calculate distances, angles, and other geometric properties.