Answer:
a = 10.8 ; 4.3
Step-by-step explanation:
Using the Sine rule :
b / Sin B = a /sin A
b = 8 ; B = 40 ; A = 120
8 / sin 40 = a / sin 120
a sin 40 = 8 sin 120
0.6427876 a = 6.9282032
a = 6.9282032 / 0.6427876
a = 10.778370
a = 10.8
Using the cosine rule :
c = sqrt(b^2 + a^2 - 2ba CosC)
c = sqrt(8^2 + 10.8^2 - (2*10.8*8*Cos20)
c = sqrt(180.64 - 162.37888)
c = sqrt(18.26112)
c = 4.2733031
c = 4.3
