If ΔABC is similar to ΔDEF, and AB=16, DF=3, and AC=12, what is the length of DE?
A. 2.25
B. 64
C. 7
D. 4
To find the length of DE, we need to set up a proportion between the corresponding sides of the two similar triangles:
AB/DE = AC/DF
Substitute the given values:
16/DE = 12/3
Cross multiply:
16 * 3 = 12 * DE
48 = 12 * DE
Now divide by 12 to solve for DE:
DE = 48 / 12
DE = 4
Therefore, the length of DE is 4.
Answer: D. 4