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

Option C.

Step-by-step explanation:

Consider the below diagram is attached with this question.

Given information:

Corresponding sides of similar triangles are proportional.

Using this definition of similar triangles we get

Substitute the values from the below diagram.

On cross multiplication we get

Divide both sides by 5.

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

2.5

√16,

-1.25,

5.33333...

0.6

Step-by-step explanation:

A decimal number can be written as the fraction of integers ( i.e. rational number ) if it is terminating or recurring non terminating,

2.5 is terminating decimal,

⇒ it can be written as a fraction of integers,

√14 = 3.7416573...... is not recurring non terminating decimal,

⇒ it can not be written as a fraction of integers,

√16 = 4 is an integer,

an integer can always written as a fraction of integers,

-1.25 is terminating decimal,

⇒ it can be written as a fraction of integers,

5.333333... is a recurring non terminating decimal,

⇒ it can be written as a fraction of integers,

= 3.14159265359....  is not recurring non terminating decimal,

⇒ it can not be written as a fraction of integers,

0.6 is terminating decimal,

⇒ it can be written as a fraction of integers