# How do you find the length of a side of a right triangle with one side and an angle?

## How do you find the length of a side of a right triangle with one side and an angle?

Key Takeaways

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

How do you find the sides of a right triangle given the hypotenuse and angle?

How do you solve a right angle triangle with only one side?

1. If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.
2. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

How do you find the height of a right triangle with only the hypotenuse?

How to Find the Height of a Right Triangle Formula? The height of a right triangle can be calculated, given the length of base and height of a right triangle formula can be calculated using the Pythagoras theorem as, (Hypotenuse)2 = (Height)2 + (Base)2.

### How do you calculate the hypotenuse of an angle?

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

What are the sides of a 30° 60° 90° triangle?

30°-60°-90° triangle: The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3 :2.

Is the hypotenuse always the longest side of a triangle?

Yes, the hypotenuse is always the longest side, but only for right angled triangles. For isosceles triangles, the two equal sides are known as the legs, while in an equilateral triangle all sides are known simply as sides. How do I find the hypotenuse adjacent and opposite? Find the longest side and label it the hypotenuse.

#### How do you find the adjacent and opposite of a hypotenuse?

The adjacent and opposite can only be found if you choose one of the non right angled angles. The adjacent is the side that forms the angle of choice along with the hypotenuse. The opposite is the side that does not form the angle of choice. How do you find the altitude of a hypotenuse?