If ∆ABC is similar to ADEF, and AB=16, DF =3, and AC =12, what is the length of DE?
2.25
4
07
64
To determine the length of DE, we can set up a proportion with corresponding side lengths from ∆ABC and ADEF.
Since ∆ABC is similar to ADEF, we can say that AB/DF = AC/DE.
Plugging in the given values, we get 16/3 = 12/DE.
To solve for DE, we can cross-multiply and solve the resulting equation: 16 * DE = 3 * 12.
16DE = 36
DE = 36/16
DE = 2.25
Therefore, the length of DE is 2.25.