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 In triangle ABC let the angle bisectors be BY and CZ. Given AB=8, AY=6, and CY=3, find BY.

 Aug 3, 2022
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 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

 Aug 3, 2022

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