+0  
 
0
127
4
avatar+965 

Thanks :)

 Jul 19, 2020
 #1
avatar+1200 
+2

BY and CZ are angle bisectors, so by the angle bisector theorem, AZ/AC = BZ/BC and CY/BC = AY/AB. Plugging in some values from the givens gets us \(\frac{AZ}{AC} = \frac{8-AZ}{BC}\) and \(\frac{4}{BC} = \frac{6}{8}\), so BC = 16/3. Also note that AC = AY+CY = 6+4 = 10, so we have AZ/10 = 8-AZ/(16/3). Solving for AZ gets us 120/23, and since AB is 8, AB-AZ = BZ so BZ = 64/23.

 

You are very welcome!

:P

 Jul 19, 2020
 #3
avatar+965 
0

thanks!

qwertyzz  Jul 19, 2020
 #2
avatar+1421 
0

https://web2.0calc.com/questions/please-help_50731#r2

 Jul 19, 2020
 #4
avatar+2 
0

64/23

 Jul 19, 2020

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