Answer:
2.4 in
Step-by-step explanation:
The triangle angle bisector theorem states that an angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
For this triangle, this gives us
CD/DB = AC/AB
3/x = 4/3.2
Cross multiplying,
3(3.2) = 4(x)
9.6 = 4x
Divide both sides by 4:
9.6/4 = 4x/4
2.4 = x
