9514 1404 393
Answer:
y = 12
Step-by-step explanation:
The angle bisector divides the sides proportionally.
y/6 = 8/4
y = 6·8/4
At first we know that
In a bisector
[tex] \sf \: a \times c = b \times d[/tex]
[tex] \bf \: 8 \times 6 = 4 \times y[/tex]
[tex] \bf \: 48 = 4y[/tex]
[tex] \bf \: y = \dfrac{48}{4} [/tex]
[tex] \bf \: y = 12[/tex]
