Question

Use the diagram and the given information to find the unknown length.

Answer 1

Answer:

BC is 10 units.

Step-by-step explanation:

Given that, $\frac{AB}{BC}=\frac{AE}{ED}$

AB=12 units

AD=33 units

AE=18 units

From the figure, AD=AE+ED ⇒ 33=18+ED ⇒ ED=15 units

$\frac{AB}{BC}=\frac{AE}{ED}$

⇒  $\frac{12}{BC}=\frac{18}{15}$

⇒  $BC=\frac{12\times 15}{18}=10 units$

Hence, BC is 10 units.