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
