Answer:
CE = 12
Step-by-step explanation:
ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal
We require to find the length of BC to complete CE
[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values
[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10BC = 40 ( divide both sides by 10 )
BC = 4
CE = CB + BE =4 + 8 = 12
