Question

Find the side length, x, of the given triangle.

Answer 1

Explanation:

You have to use the Law of Cosines here. Filling in the formula for it:

`x^2=30^2+23^2-2(30)(23)cos66`

Simplifying a bit:

`x^2=900+529-1380cos66`

1380 times the cosine of 66 = 561.2965674, so

`x^2=1429-561.2965674` and

`x^2=867.7034326` so

x = 29.456