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

Please explain. Thank you!

Question

In the triangle below, b=____. If necessary, round your answer to two decimal places.

Please explain. Thank you!

kj4uts · Answer

attachment

kj4uts · Answer

@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

jim_thompson5910 · Answer

how did you get 117.9 ?

I'm getting 180-33.7-26.4 = 119.9

jim_thompson5910 · Answer

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

kj4uts · Answer

oh ok I see that now

anonymous · Answer

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

jim_thompson5910 · Answer

you use the law of sines

kj4uts · Answer

Is it 37.50

anonymous · Answer

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

jim_thompson5910 · Answer

you got this, right?

b = 37.4979380619342

jim_thompson5910 · Answer

oh, then you round to 2 decimal places

jim_thompson5910 · Answer

so,

37.4979380619342 --> 37.50

jim_thompson5910 · Answer

looks good

kj4uts · Answer

ok thanks again!

jim_thompson5910 · Answer

np