Question

The law of cosines is used to find the value of m. Triangle L N M is shown. The length of L N is m, the length of N M is 18, and the length of M L is 27. To the nearest whole number, what is the value of m? 13 14 43 45

Answer 1

Answer:

The answer would be option B. 14

Step-by-step explanation:

Just got this right on edge. - hope it helps :D

Brainliest would be greatly appreciated :)

Answer 2

When the law of cosines is used so here the value of m is to be considered as the 14.

Calculation of the value of m:

SInce

the law of cosines be $c^2 = a^2 + b^2 - 2ab . cos(C)$

And, for the given triangle

c = m

a = 27

b = 18

And, c = 28 degrees

So,

$m^2 = 27^2 + 18^2 - 2.27.18. cos(28)\\\\= 729+ 324 - 972. 0.882947592859\\\\= 1053 - 0.882947592859\\\\= 194.7749397$

So, m = 14

hence, When the law of cosines is used so here the value of m is to be considered as the 14.

Learn more about cosine here; https://brainly.com/question/15793827