In triangle ABC let the angle bisectors be BY and CZ. Given AB=8, AY=6, and CY=3, find BY.
In triangle ABC let the angle bisectors be BY and CZ. Given AB=8, AY=6, and CY=3, find BZ.
In the other problem we found that BC = 8
So, again, by the angle bisector theorem
AC / BC = AZ / BZ
9 / 8 = AZ / BZ
So....there are 17 parts to AB
And BZ = 8 of them
So
BZ = (8/17)(AB) = (8/17)(8) = 64 /17