Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?

Question options:

2 units

12 units

4 units

6 units

Respuesta :

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

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