Question

Find the missing length. The triangles are similar.

Can someone help me?

Need to show the work

Answer 1

AB =
`(108)/(7)`

Explanation:

Δ ALM and Δ ACB are similar, then the ratios of corresponding sides are equal, that is

`(AM)/(AB)` =
`(AL)/(AC)` , substitute values

`(12)/(AB)` =
`(14)/(18)` =
`(7)/(9)` ( cross- multiply )

7AB = 108 ( divide both sides by 7 )

AB =
`(108)/(7)` ( = 15
`(3)/(7)` )