Question

Triangles abc and def are similar. Find the length of segment ef. A) 5 cm b) 8.8 cm c) 12 cm d) 14 cm

Answer 1

Option C.

Explanation:

Consider the below diagram is attached with this question.

Given information:
`\triangle ABC\sim \triangle DE F`

Corresponding sides of similar triangles are proportional.

Using this definition of similar triangles we get

`(AB)/(DE)=(BC)/(EF)`

Substitute the values from the below diagram.

`(5)/(4)=(15)/(EF)`

On cross multiplication we get

`5EF=15* 4`

`5EF=60`

Divide both sides by 5.

`EF=12`

The length of segment EF is 12 cm. Therefore, the correct option is C.