Answered

57°
41
Use the Law of Sines to determine the length of
side c.
44°
B
29
49
34
21

57 41 Use The Law Of Sines To Determine The Length Of Side C 44 B 29 49 34 21 class=

Answer :

AKPOSEVICTORGO

Answer:

c = 29

Step-by-step explanation:

Law of sines is given as: [tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Substitute

[tex] \frac{41}{sin(79)} = \frac{c}{sin(44)} [/tex]

Multiply both sides by sin 44

[tex] \frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44) [/tex]

[tex] \frac{41*sin(44)}{sin(79)}*sin(44) = c [/tex]

c = 29.0140633 ≈ 29

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