Answer:
D) y = 12
Step-by-step explanation:
One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:
[tex]\frac{a_1}{b}=\frac{a_2}{c}[/tex]
Where ([tex]a_1[/tex]) and ([tex]a_2[/tex]) are a part of the side that is intersected by the angle bisector and ([tex]b[/tex]) and ([tex]c[/tex]) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.
[tex]\frac{4}{8}=\frac{6}{y}[/tex]
Simplify,
[tex]\frac{1}{2}=\frac{6}{y}[/tex]
Cross products,
[tex]12=y[/tex]
