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

Find The Length Of Side X Using The Law Of Cosines class=

Sagot :

Answer:

The length of side x is 22.91

Step-by-step explanation:

As per law of cosine

[tex]X = \sqrt{a^2 + b^2- 2*a*bcos\gamma}[/tex]

Where

[tex]gamma = 56[/tex] degrees

a = 20

b = 27

Substituting the given values in above equation, we get -  

[tex]X = \sqrt{20^2 + 27^2 - 2*20*27*cos 56} \\X = 22.91[/tex]

Hence, the length of side x is 22.91

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