# How do you find the hypotenuse of a right triangle with only one side?

## How do you find the hypotenuse of a right triangle with only one side?

If you have an angle and the side opposite to it, you can divide the side length by sin(θ) to get the hypotenuse. Alternatively, divide the length by tan(θ) to get the length of the side adjacent to the angle.

## What is the length of the hypotenuse of a right triangle?

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

How to calculate the hypotenuse of a right triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

Which is the sum of the two sides of the hypotenuse?

The Pythagorean Theorem states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

### How to calculate the length of a right triangle?

The length of side a is the square root of the squared hypotenuse minus the square of side b. The length of side b is the square root of the squared hypotenuse minus the square of side a. The area of a right triangle is side a multiplied by side b divided by 2.

### How to find the third side of a right triangle?

You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2 If you know the length of any 2 sides of a right triangle you can use the Pythagorean equation formula to find the length of the third side.