Question

Use the law of sines to find the indicated missing part. Round your answers to the nearest

Answer 1

As a first step we have to find the measure of angle C:

Since, intern angles of a triangle must add up 180 degrees, then

26+18+C=180

44+C=180

C=180-44

C=136 degrees

Now, we can find side b:

$\begin{gathered} \frac{b}{\sin(B)}=\frac{c}{\sin (C)} \\ \frac{b}{\sin(18)}=\frac{27}{\sin (136)} \\ b\sin (136)=27\cdot\sin (18) \\ b=\frac{27\cdot\sin (18)}{\sin (136)} \\ b=12 \end{gathered}$