Answer:
DE = 1.1, BC = 4.8,DF = 1.6
Step-by-step explanation:
We have ∠A=∠E and ∠C=∠F, so ∠B=∠D.
So triangles △ABC and △DEF are similar triangles.
We have
[tex]\frac{BC}{DF} =\frac{AB}{DE} =\frac{AC}{EF} \\ \\\frac{BC}{DF} =\frac{AB}{DE} =\frac{6}{2} =3\\\\\frac{3.3}{DE} =3, DE=\frac{3.3}{3}=1.1\\ \\\frac{BC}{DF} =3,\frac{BC}{BC-3.2} =3,2BC=9.6, BC=4.8,DF=4.8-3.2=1.6[/tex]
DE = 1.1, BC = 4.8,DF = 1.6
