If the length of ac equals 24,what is the length of the midsegment de

C) 12

Step-by-step explanation:

According to the Mid-segment theorem, the mid-segment joining the midpoints of the two sides of a triangle is

A) Parallel to the remaining third side of the triangle

b) The length of this mid-segment is half the length of the third side.

In the given picture , we have Δ ABC in which D and E are midpoints on side AB and BC respectively .

Third side = AC = 24 units.

So by Mid-segment theorem,

Segment DE is parallel to Segment AC.

And

Put value of AC ,

Hence, the length of the midsegment DE =12 units.

Thus , the correct answer is C) 12.