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3 years ago

What is the length of line segment DC

Mathematics

2 answers:

Misha Larkins [42]3 years ago

4 0

The answer is 3 units.

12/4= 3

9/3= 3 units

Y_Kistochka [10]3 years ago

3 0

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.

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