Question

In the triangle below, b=____. If necessary, round your answer to two decimal places.

Please explain. Thank you!

Answer 1

@jim_thompson5910 Is this right?

Angle B is 180 deg - 28.4 - 33.7 = 117.9 degrees.
b/sin(117.9) = 24/sin(33.7)
b = 24*sin(117.9)/sin(33.7)

Answer = 38.22

Answer 2

how did you get 117.9 ?

I'm getting 180-33.7-26.4 = 119.9

Answer 3

Oh I see. You have 28.4 when it should be 26.4

Answer 4

oh ok I see that now

Answer 5

Is the way to solve this law of cosines @jim_thompson5910 or is there a simpler solution

Answer 6

you use the law of sines

Answer 7

Is it 37.50

Answer 8

\[b ^{2}=a ^{2}+c ^{2}-2ac \cos B\]

Answer 9

you got this, right?

b = 37.4979380619342

Answer 10

oh, then you round to 2 decimal places

Answer 11

so,

37.4979380619342 --> 37.50

Answer 12

looks good

Answer 13

ok thanks again!

Answer 14

np