How do you find the area of the triangle ABC with a = 7.2, c = 4.1, and B=28 degrees?
The area of the triangle is approximately
For this problem, we will use the following:
The law of cosines:
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)
By Heron's formula, then, we get the area
Plugging this in gives us the final result