Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal
(a)
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{AB}{17.64}[/tex] = [tex]\frac{6.3}{13.23}[/tex] ( cross- multiply )
13.23AB = 111.132 ( divide both sides by 13.23 )
AB = 8.4
(b)
[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex], substitute values
[tex]\frac{DF}{4.1}[/tex] = [tex]\frac{13.23}{6.3}[/tex] ( cross- multiply )
6.3DF = 54.243 ( divide both sides by 6.3 )
DF = 8.61
