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

Answer:

The length of the side EF is 3cm.

Step-by-step explanation:

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

This means that:

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

$\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}$

This proportion is called the scale factor.

Knowing this, we can find the value of x

$\frac{3}{4.5}=\frac{2}{x}$

$x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm$

So, the lenght of side EF is 3cm.