Question

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

Answer 1

`BC=10`

Explanation:

Given:
`(AB)/(BC)=(AE)/(ED)`, AB=12, AE=18 and AD=33

Now,AD=AE+ED

⇒
`33=18+ED`

`ED=15`

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

`(12)/(BC)=(18)/(15)`

`12{*}15=18BC`

`180=18BC`

`BC=(180)/(18)`

`BC=10`