Question

2) What is the value of y?

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

(geometry)​

Answer 1

D) y = 12

Explanation:

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

`(a_1)/(b)=(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.

`(4)/(8)=(6)/(y)`

Simplify,

`(1)/(2)=(6)/(y)`

Cross products,

`12=y`