Respuesta :

Answer:

DE = 15 cm, AB = 6 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal.

(a)

[tex]\frac{DE}{BC}[/tex] = [tex]\frac{CE}{AC}[/tex] , substitute values

[tex]\frac{DE}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 to clear the fraction )

DE = 15 cm

(b)

[tex]\frac{AB}{CD}[/tex] = [tex]\frac{AC}{CE}[/tex] , substitute values

[tex]\frac{AB}{18}[/tex] = [tex]\frac{8}{24}[/tex] ( cross- multiply )

24AB = 144 ( divide both sides by 24 )

AB = 6 cm