Answer:
B=103.8° , a=11.3 and C=24.2°
Given:
A = 52°, b = 14, c = 6
using sine law:
sinAa=sinBb=sinCc
sin52oa=sinB14=sinC6 ..........................1
using cosine law:
a2=b2+c2−2bcCosA
a2=196+36−2(14)(6)Cos52o .............2
from 2 we get,
a=11.3 ........................3
putting 3 in 1
And solving
sin52o11.3=sinB14
And
sin52o11.3=sinC6
As we see first possible solution
we get
B=103.80
C=24.20
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