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Naddik [55]
3 years ago
15

57°

Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

c = 29

Step-by-step explanation:

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

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

\frac{b}{sin(B)} = \frac{c}{sin(C)}

Substitute

\frac{41}{sin(79)} = \frac{c}{sin(44)}

Multiply both sides by sin 44

\frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44)

\frac{41*sin(44)}{sin(79)}*sin(44) = c

c = 29.0140633 ≈ 29

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