# What is a hypotenuse side

The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. Learning Objective s. In this right triangle, you are given the measurements for the hypotenuse, c , and one leg, b. For the sake of simplicity, label the side with the known length as "a," and the other "b".

## Hypotenuse Leg Theorem

Yes No. The calculator gives an answer of 3.

Special Right Triangles in Geometry: 45-45-90 and 30-60-90

This is a right triangle; when you sum the squares of the lengths of the sides, you get the square of the length of the hypotenuse. Example Problem The owners of a house want to convert a stairway leading from the ground to their back porch into a ramp.

## The Pythagorean Theorem

Notice you found a number, c , whose square was 169. Answer The height of the sail is 15 yards. Pre-Algebra Inequalities and one-step equations Overview Different ways to solve equations Calculating the area and the perimeter Solving inequalities Understanding inequalities and equations.

Note that the Pythagorean Theorem only works with right triangles. The square root of 153 is 12.

## Hypotenuse, opposite, and adjacent

You can do this in two separate steps, by first calculating sin A and writing it down, and then dividing by a. A sailboat has a large sail in the shape of a right triangle.

The Pythagorean Theorem is perhaps one of the most useful formulas you will learn in mathematics because there are so many applications of it in real world settings. This theorem holds true for this right triangleâ€”the sum of the squares of the lengths of both legs is the same as the square of the length of the hypotenuse.

Not Helpful 0 Helpful 2. Half the base multiplied by the height is the area. Pythagoras studied right triangles, and the relationships between the legs and the hypotenuse of a right triangle, before deriving his theory.

If you are given the length of one leg of 30-60-90 right triangle and are asked to find the hypotenuse, it is very easy to do: This theorem is represented by the formula.