Question

2) What is the value of y?


A) 2 B) 10 C)9 D)12

(geometry)​

Answer 1

Answer:

D) y = 12

Step-by-step explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:

$\frac{a_1}{b}=\frac{a_2}{c}$

Where ($a_1$) and ($a_2$) are a part of the side that is intersected by the angle bisector and ($b$) and ($c$) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.

$\frac{4}{8}=\frac{6}{y}$

Simplify,

$\frac{1}{2}=\frac{6}{y}$

Cross products,

$12=y$