# How do you find the measure of each of the angles of a triangle given the measurements of the sides are 12, 20, 22?

##### 1 Answer

Dec 6, 2016

#### Answer:

Use the Law of Cosines as demonstrated below.

#### Explanation:

Let

and

and

The Law of Cosines tells us that

or (in a form more useful for this problem):

or...

Using the given values (and a calculator)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Similarly, we can find:

and