Question

For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.

Answer 1

Answer: 10

Explanation:

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

153 + ∠C = 180°

∠C = 27°

Next, Use the Law of Sines to solve for c:

`(b)/(sin\ B)= (c)/(sin\ C)`

`(15)/(sin\ 43)= (c)/(sin\ 27)`

`(15\ sin\ 27)/(sin\ 43)= c`

`10 = c`