# How do you find the sides of a 90 degree triangle?

## How do you find the sides of a 90 degree triangle?

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.

What are the sides of a right triangle?

In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides.

How do you calculate the side of a triangle?

According to the Law of Sines, the ratio of the sines of each angle divided by the length of the opposite side are all equal. This helps you to find the sides of the triangle. Add the two angles together and subtract the sum from 180 degrees to find the third angle.

### What are the properties of a 30 60 90 triangle?

However a triangle with angles 30, 60 and 90 degrees has a property that allows you to solve your question without resorting to trigonometry. The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.

How do you find the angle of a triangle in trigonometry?

Draw a line from one of the other angles in the triangle so that it intersects the opposite side at a right angle. Measure the side of the right triangle between the right angle and the angle you are trying to find. This is called the adjacent side of the triangle.

How many degrees does a triangle have?

The measures of the interior angles of the triangle always add up to 180 degrees (same color to point out they are equal). The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees.