Question

Solve the triangle.

B = 36°, a = 38, c = 18


So far I have gotten that b=25.7. But now I'm stuck.

Answer 1

then do sin theorem a/sin(A)=b/sin(B)=c/sin(C)

Answer 2

I got 54.97858039 as A. That is not one of the possible answers so I know I did something wrong. I took b/sinB, 38/sinANS

Answer 3

I just used your numbers, but got something closer to 60 deg

Answer 4

Hmm. Something is wrong then. These are the possible answers:

b ≈ 41.7, C ≈ 28.2, A ≈ 115.8

b ≈ 25.7, C ≈ 24.2, A ≈ 119.8

b ≈ 25.7, C ≈ 116.8, A ≈ 27.2

b ≈ 41.7, C ≈ 24.2, A ≈ 119.8

Answer 5

it looks like you used 36 instead of 38 for the length of a

Answer 6

it is clearly choice B or C

A= 60.3, or If the triangle is obtuse, A= 180-60.3= 119.7

Answer 7

So if I get an answer and its not there, try subtracting it from 180? How do I know if its obtuse?

Answer 8

Law of sines can be ambiguous.

Answer 9

one clue is that the biggest side goes with the biggest angle. if one side is "huge" compared to the others, look out for obtuse.