Question

In the diagram below, if AB = 24, AC = 8, and BD = 6, then find the length of DC.

A) 8
B) 2
C) 12
D) 3
thank you :)

Answer 1

Answer: 2

Step-by-step explanation:

By the angle bisector theorem,

$\frac{8}{24}=\frac{DC}{6}\\\\DC=2$

Answer 2

The length of DC is 2

What is  angle bisector theorem?

Angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Given:

AB = 24, AC = 8, and BD = 6

Now, using angle bisector theorem

AB/ AC = BD / DC

24 / 8 = 6 / DC

3 DC= 6

DC = 2

Learn more about this angle bisector theorem here:

https://brainly.com/question/9742008

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