Answer:
AB = 8
Step-by-step explanation:
ΔABE and ΔDCE are similar hence the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{DC}[/tex] = [tex]\frac{BE}{CE}[/tex], so
[tex]\frac{AB}{6}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
3AB = 24 ( divide both sides by 3 )
AB = 8
