A)
B)
A) By the angle bisector theorem, BC = 32/7.
B) Again by the angle bisector theorem, BZ = 11/3.
1) The angle bisector theorem: CY / AY = BC / AB
4 / 6 = BC / 8
BC = 5.333333
2) Using a Law of cosines calculate angles C and B
3) Use the Law of sines to calculate BZ
Geometry is fun.