Hypotenuse Calculator

Hypotenuse calculator calculates the hypotenuse length from other known legs or angles for a right triangle.

A right triangle is a triangle with one angle that is 90°, it's called a right angle. The two sides of the right angle are the leg, and the opposite side of the right angle is the hypotenuse. The hypotenuse is the longest side of a triangle, the other two sides should not be longer than it.

Hypotenuse Formula

By known two legs, the hypotenuse is
c=√(a²+b²)

To find hypotenuse by giving a leg and its opposite angle:
c= ^a⁄_sin(X) OR
c=^b⁄_sin(Y)
this formula is derived from the law of sin formula which is:
^a⁄_sin(X)=^b⁄_sin(Y)=^c⁄_sin(90°)
(sin90°=1)

By known a leg and angle
c=b/cos(X)
c=a/cos(Y)