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

Answer:

The length of DC is 3 unit.

Step-by-step 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

$\frac{AE}{EB}=\frac{AD}{DC}$

$\frac{12}{4}=\frac{9}{x}$

$3=\frac{9}{x}$

$x=\frac{9}{3}$

$x=3$

Thus, the length of DC is 3 unit.