Answer:
C = 49 degrees
a = 8.73 cm
c = 9.11 cm
Explanation:
If angle A is 47 and angle B is 84, angle C = 180 - (A + B) = 180 - (47 + 84) = 49
length of b is 12 cm
so according to the formula
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(47) = 12/sin(84) = c/sin(49)
a = sin(47) x 12/sin(84) = 0.731 x 12/0.995 = 8.73 cm
c = sin(49) x 12/sin(84) = 0.755 x 12/0.995 = 9.11 cm