Question

Find the length of side x using the Law of Cosines.

Answer 1

The length of side x is 22.91

Explanation:

As per law of cosine

`X = √(a^2 + b^2- 2*a*bcos\gamma)`

Where

`gamma = 56` degrees

a = 20

b = 27

Substituting the given values in above equation, we get -

`X = √(20^2 + 27^2 - 2*20*27*cos 56) \\X = 22.91`

Hence, the length of side x is 22.91