Respuesta :

Answer:

DE = 1.8 cm

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DF}{DE}[/tex] = [tex]\frac{GF}{HE}[/tex], and substituting values

[tex]\frac{7.2}{DE}[/tex] = [tex]\frac{4.8}{1.2}[/tex] ( cross- multiply )

4.8DE = 8.64 ( divide both sides by 4.8 )

DE = 1.8 cm