Question 15 (5 points) 10 m
?
6 m
А
B. D
E
8 m
12 in.
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown
sides?
A) EF = 12 in.; DF = 20 in.
B) EF = 18 in.; DF = 30 in.
C) EF = 9 in.; DF = 15 in.
OD) EF = 15 in.; DF = 9 in.

C

Step-by-step explanation:

Similar triangles have corresponding sides that are proportional.

AC is corresponding side to DF

AB is corresponding side to DE

BC is corresponding side to EF

From the 2 given corresponding sides, AB = 8 and DE = 12, we can figure out their proportionality.

So all corresponding sides of the first triangle to the second triangle will have a ratio of 2:3.

So,

DF = 15

And,

EF = 9

Answer choice C is right.

step-by-step explanation:

|ab| = 1.4 = 4

h = 1.4 = 4

a(abc) area = 4.4 = 16/2 = 8

area of abc = 8 cm^2

good luck ! ; )