PLEASE HELP ME!

Suppose that ∆EFG ~ ∆ABC and the ratio between corresponding sides of ∆EFG to ∆ABC is 3 : 2.




If AB = 4 cm, BC = 6 cm, AC = 8 cm, and EF = 6 cm, what is EG?



a. 8 cm

b. 9 cm

c. 10 cm

d. 12 cm

Respuesta :

Answer:

  d. 12 cm

Step-by-step explanation:

Corresponding sides have the given ratio:

  EG/AC = 3/2 = EG/8 . . . . . . . fill in for AC

  EG = 8(3/2) = 12 . . . cm . . . . . . . multiply by 8