Question

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

Answer 1

BC is 10 units.

Explanation:

Given that,
`(AB)/(BC)=(AE)/(ED)`

AB=12 units

AD=33 units

AE=18 units

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

`(AB)/(BC)=(AE)/(ED)`

⇒
`(12)/(BC)=(18)/(15)`

⇒
`BC=(12* 15)/(18)=10 units`

Hence, BC is 10 units.