Question

Find MN. Need help with this. Thanks.

Answer 1

D

Explanation:

ΔMLN and ΔQPN are similar triangles thus the ratios of corresponding sides are equal.

`(MN)/(QN)` =
`(ML)/(QP)`, that is

`(MN)/(9)` =
`(6)/(8)` ( cross- multiply )

8MN = 54 ( divide both sides by 8 )

MN =
`(54)/(8)` = 6
`(3)/(4)` → D