Question

In ABCD and E are the midpoints of AB and AC, respectively; If 3C=28cm, what is DE?

A. 18cm
B. 14cm
C. 16cm
D. 12cm

Answer 1

B. 14cm is the correct answer in my opinion

Answer 2

The length of DE is 56/3 cm or approximately 18.67 cm.

Step-by-step explanation:

To find the length of DE, we need to use the concept of midpoints and proportions. Since E is the midpoint of AC, AE is equal to EC. Similarly, since D is the midpoint of AB, AD is equal to DB.

Therefore, the length of DE is equal to the sum of AE and AD, which is equal to EC plus DB. If 3C = 28 cm, then C = 28/3 cm.

Since E is the midpoint of AC, AE = EC. So, EC = 28/3 cm.

Similarly, since D is the midpoint of AB, AD = DB. So, DB = 28/3 cm.

Therefore, the length of DE is equal to EC + DB, which is equal to (28/3) + (28/3) = 56/3 cm = 18.67 cm (approx.)