Answer:
Option C.
Step-by-step explanation:
Consider the below diagram is attached with this question.
Given information: [tex]\triangle ABC\sim \triangle DE F[/tex]
Corresponding sides of similar triangles are proportional.
Using this definition of similar triangles we get
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]
Substitute the values from the below diagram.
[tex]\dfrac{5}{4}=\dfrac{15}{EF}[/tex]
On cross multiplication we get
[tex]5EF=15\times 4[/tex]
[tex]5EF=60[/tex]
Divide both sides by 5.
[tex]EF=12[/tex]
The length of segment EF is 12 cm. Therefore, the correct option is C.
