Question

Find the value of x.6 3 2 x​

Answer 1

Answer:

$x=4$

Step-by-step 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,

$\frac{BA}{BC}=\frac{AD}{DC}$

Substitute,

$\frac{x}{6}=\frac{2}{3}$

Cross products,

$3(x)=2(6)$

Simplify,

$3x=12$

Inverse operations,

$3x=12\\\\x = 4$