Question

57°

41
Use the Law of Sines to determine the length of
side c.
44°
B
29
49
34
21

Answer 1

c = 29

Explanation:

Law of sines is given as:
`(a)/(sin(A)) = (b)/(sin(B)) = (c)/(sin(C))`

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

`(b)/(sin(B)) = (c)/(sin(C))`

Substitute

`(41)/(sin(79)) = (c)/(sin(44))`

Multiply both sides by sin 44

`(41)/(sin(79))*sin(44) = (c)/(sin(44))*sin(44)`

`(41*sin(44))/(sin(79))*sin(44) = c`

c = 29.0140633 ≈ 29