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# How do you find the length of the opposite side of a right triangle?

## How do you find the length of the opposite side of a right triangle?

Right Triangles and the Pythagorean Theorem

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2. The side opposite the right angle is called the hypotenuse (side c in the figure).

What is the opposite side of a right angle triangle?

hypotenuse
We define the side of the triangle opposite from the right angle to be the hypotenuse. It is the longest side of the three sides of the right triangle. The word “hypotenuse” comes from two Greek words meaning “to stretch”, since this is the longest side.

How do you find the hypotenuse of a right triangle with an angle and adjacent 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.

### How do you find the hypotenuse of a triangle?

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. How to find the missing side of a right triangle?

Is the hypotenuse opposite or adjacent to the angle?

If the angle you already know is the shortest one, then the shortest side is opposite it. However, if the angle you already know is the medium one, then the shortest side is adjacent to it. The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

Which is the longest side of a hypotenuse?

If the angle you already know is the shortest one, then the shortest side is opposite it. However, if the angle you already know is the medium one, then the shortest side is adjacent to it. The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle. (40 votes)

#### Which is the longest side in a right triangle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle.