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:
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}[/tex]
This proportion is called the scale factor.
Knowing this, we can find the value of x
[tex]\frac{3}{4.5}=\frac{2}{x}[/tex]
[tex]x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm[/tex]
So, the lenght of side EF is 3cm.
