Question

Triangles ABC and DEF are similar. what is the length of side EF

Answer 1

the anwser is either 2.88 or 3, But others are saying it is 3.

Answer 2

The length of the side EF is 3cm.

Explanation:

As both triangles are similar, their corresponding sides are in proportion.

This means that:

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

`(3)/(4.5)=(2)/(x)=(5)/(7.5)`

This proportion is called the scale factor.

Knowing this, we can find the value of x

`(3)/(4.5)=(2)/(x)`

`x=2 *((4.5)/(3))=(9)/(3)=3cm`

So, the lenght of side EF is 3cm.