2) What is the value of DE if AB = 6, AD = 8, and BC = 3?
A) 3.5
B) 4
C) 4.5
D) 5

Answer:
B
Step-by-step explanation:
Δ ABC and Δ ADE are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{DE}{BC}[/tex] = [tex]\frac{AD}{AB}[/tex] , substitute values
[tex]\frac{DE}{3}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )
6DE = 24 ( divide both sides by 6 )
DE = 4 → B