Answer:
Step-by-step explanation:
Since angles A and E correspond, as well as angles C and F, we can say ...
ΔABC ~ ΔEDF
Then the ratio of side lengths of ΔABC to those of ΔEDF is ...
AC/EF = 6/2 = 3
That means ...
ED/AB = 1/3
ED = AB·(1/3) = 3.3·(1/3) = 1.1
For the remaining sides, we have the relation
3·DF = BC
3·(BC -3.2) = BC
2BC - 9.6 = 0 . . . eliminate parentheses, subtract length BC
BC -4.8 = 0 . . . . . divide by 2
BC = 4.8 . . . . . . . . add 4.8
DF = BC·(1/3) = 1.6
The unknown side lengths are BC = 4.8, DE = 1.1, DF = 1.6.
