Can you answer this please
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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