Question

I Need to know the missing lengths help fast

Answer 1

Answer:

$DE=15$ and $AB=6$

Step-by-step explanation:

Since they are similar, the length CE is a ratio of length AC, length CD is a ratio of length AB and length DE is a ratio of length BC.

$\frac{CE}{AC} =\frac{CD}{AB} =\frac{DE}{BC}$

Substituting the values,

$\frac{24}{8} =\frac{18}{AB} =\frac{DE}{5}$

$8$×$18$$=24AB$

$AB=\frac{144}{24}$

$AB=6$

$8$×$DE$$=24$×$5$

$DE=\frac{120}{8}$

$DE=15$