Question

Given the triangle below, what is mC, rounded to the nearest tenth?

Answer 1

Answer:

41.4

Step-by-step explanation: Since this isn't a right triangle and you're given side side side (SSS), you need the Law of Cosines.

cos(c) = (a^2 + b^2 - c^2)/2ab

(100+144-64)/2*12*10

cos(c) = 180/240

multiply both sides of the equation by cos^-1 to get ride of cos:

cos^-1(cos(c)) = cos^-1(180/240)

c = 41.4