3 years ago

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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