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

Question

asked Sep 25, 2022 42.9k views

1 Answer

Zoltan Febert · Answer 1 · 2022-10-02T15:36:45+0000

Answer:

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