Question

Calculate the side lengths a and b to two decimal places.

Please explain. Thank you!

Answer 1

Angle C is unknown, but it can be determined.


A+B+C = 180
50+107+C = 180 ... plug in the given angles, solve for C
157+C = 180
157+C-157 = 180-157
C = 23


Use the law of sines to find length 'a'.


sin(A)/a = sin(C)/b
sin(50)/a = sin(23)/8
a = ???

Answer 2

@jim_thompson5910

b/sin(107) = 8/sin(23)

b = 19.58

The answer would be A. a=15.68 and b=19.58 right?

Answer 3

You are correct.