What is the hypotenuse of a triangle? A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem. You can learn more about this in our pythagorean theorem calculator. Learn what a hypotenuse is, how to find it using the Pythagorean Theorem, the law of sines, or trigonometry. See examples of right triangles and hypotenuse problems. 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. Introduction to Trigonometry: Hypotenuse , learn the names of the sides of a right triangle ( hypotenuse, adjacent , opposite) and how they are used in trigonometry, SOHCAHTOA, Trigonometric Functions, Trigonometric Angles, Inverse Trigonometry, Trigonometry Problems, with video lessons with examples and step-by-step solutions.