Learn what the hypotenuse is, see the formula, and master calculation steps with examples. Understand its role in right triangles for exams and real-life applications. Hypotenuse Formula can be defined as a relation among the three sides ( hypotenuse , base, perpendicular) of a right-angled triangle. Hypotenuse Formula states that the sum of squares of two small sides (base and perpendicular) is equal to the square of the longest side ( hypotenuse ). As a consequence of the Pythagorean theorem, the hypotenuse is the longest side of any right triangle; that is, the hypotenuse is longer than either of the triangle's legs. The hypotenuse is the largest side of a right triangle. It is a side opposite to the right angle in a right triangle. The Pythagoras theorem defines the relationship between the hypotenuse and the other two sides of the right triangle, the base, and the perpendicular side.