What is the length of the mid-segment DE?
A)12
B)24
C)32
D)48
![What is the length of the midsegment DE A12 B24 C32 D48 class=](https://us-static.z-dn.net/files/d7d/49d7506027abed76d9421123702c53d9.jpg)
The midsegment is half the length of the side parallel to it. In this case, BC is parallel to DE. So DE = (1/2)*BC = 0.5*64 = 32.
Note how AD = DB and AD+DB = AB. These facts can be used to prove that AD is half of AB. Similarly, we can prove AE is half of AC. To keep the same proportion, DE must be half of BC.
Answer: C). 32
Step-by-step explanation:
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