Question

What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer to the nearest tenth?

Answer 1

D) 14.3

Explanation:

got it right on edge :)

Answer 2

For this case, using the law of cosine we have:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)
Substituting values we have:
c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)
Clearing c we have:
c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))
c = 14.33216827
round the answer to the nearest tenth:
c = 14.3
Answer:
the length of side c is:
c = 14.3