# How do you find the area of the triangle ABC with a = 7.2, c = 4.1, and B=28 degrees?

##### 1 Answer

Nov 17, 2015

The area of the triangle is approximately

#### Explanation:

For this problem, we will use the following:

The law of cosines:

Heron's formula:

Applying the law of cosines gives us

(Note that for greater accuracy, we can perform the calculation of the square root at the very end, however for convenience we will use this approximation here)

Now, let

By Heron's formula, then, we get the area

Plugging this in gives us the final result