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

lol rsm?

Explanation:

Answer 2

DE = 1.1, BC = 4.8,DF = 1.6

Explanation:

We have ∠A=∠E and ∠C=∠F, so ∠B=∠D.

So triangles △ABC and △DEF are similar triangles.

We have

`(BC)/(DF) =(AB)/(DE) =(AC)/(EF) \\ \\(BC)/(DF) =(AB)/(DE) =(6)/(2) =3\\\\(3.3)/(DE) =3, DE=(3.3)/(3)=1.1\\ \\(BC)/(DF) =3,(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