Question

If the length of AC equals 24,what is the length of the midsegment DE

Answer 1

Answer: C) 12

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
`DE=(1)/(2)AC`

Put value of AC ,
`DE=(1)/(2)(24)=12\ units`

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

Thus , the correct answer is C) 12.