Question

What is the length of line segment DC

Answer 1

The answer is 3 units.

12/4= 3

9/3= 3 units

Answer 2

The length of DC is 3 unit.

Explanation:

Consider the provided figure.

DE is parallel to CB.

According to basic proportionality theorem:

"If a line is drawn parallel to one side of a triangle to pass the other two sides in separate points, the other two sides are divided into the same ratio."

Therefore

`(AE)/(EB)=(AD)/(DC)`

`(12)/(4)=(9)/(x)`

`3=(9)/(x)`

`x=(9)/(3)`

`x=3`

Thus, the length of DC is 3 unit.