Question

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

Answer 1

Answer:

12

Step-by-step explanation:

midsegment is 1/2 of length of AC

Answer 2

Answer: 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 $DE=\dfrac{1}{2}AC$

Put value of AC , $DE=\dfrac{1}{2}(24)=12\ units$

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

Thus , the correct answer is C) 12.