Question

Find the value of x.
6 3 2 x​

Answer 1

`x=4`

Explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

`(BA)/(BC)=(AD)/(DC)`

Substitute,

`(x)/(6)=(2)/(3)`

Cross products,

`3(x)=2(6)`

Simplify,

`3x=12`

Inverse operations,

`3x=12\\\\x = 4`