Question

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units

Answer 1

Answer: The length of DC is 3 units

Step-by-step explanation:

The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.

The given image is attached below.

From the BPT theorem, we can say that:

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

We are given:

AE = 12 units

EB = 4 units

AD = 9 units

Putting values in above equation, we get:

$\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units$

Hence, the length of DC is 3 units

Answer 2

Answer:

The answer is 3 units

Step-by-step explanation: