If ∆ABC is similar to ADEF, and AB=16, DF =3, and AC =12, what is the length of DE?
(1 point)
2.25
4
07
64
Since ∆ABC is similar to ∆ADEF, we can set up a proportion to find the length of DE.
AB/DF = AC/DE
16/3 = 12/DE
To solve for DE, we cross-multiply:
16DE = 3 * 12
16DE = 36
DE = 36 / 16
DE = 2.25
Therefore, the length of DE is 2.25.