find b. AB= 14 in BC= 8 in b=117 deg

Question

find indicated meaure

Answer 1

Hi Gabriella,

You can use the law of cosines. There is no need to use the law of sines to find side b.

If you draw the figure, you will see that based on the law of cosines you can write
b^2 = 14^2 + 8^2 - 2*14*8*cos(117 deg)
= 196 + 64 - 224*(-0.45)
= 360.8
b = 19 units (rounded to the nearest whole number)

Answer 2

Draw the figure; you will see that you can apply the Law of Cosines to find side AC. Then you may apply the Law of Sines.

Always draw the figure (as I believe I may have said yesterday, on occasion). The figure is usually instructive.