Question

In triangles △ABC and △DEF, m∠A=m∠E, m∠C=m∠F, AC=6, EF=2, and AB=3.3, side DF is shorter than side BC by 3.2. Find the unknown sides of these triangles.

Answer 1

Answer:

lol rsm?

Step-by-step explanation:

Answer 2

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

           $\frac{BC}{DF} =\frac{AB}{DE} =\frac{AC}{EF} \\ \\\frac{BC}{DF} =\frac{AB}{DE} =\frac{6}{2} =3\\\\\frac{3.3}{DE} =3, DE=\frac{3.3}{3}=1.1\\ \\\frac{BC}{DF} =3,\frac{BC}{BC-3.2} =3,2BC=9.6, BC=4.8,DF=4.8-3.2=1.6$

DE = 1.1, BC = 4.8,DF = 1.6