Question

Could any one explain this problem?

Answer 1

C

Explanation:

Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is

`(AQ)/(AC)` =
`(PQ)/(BC)` ( note that AC = 3 + 6 = 9 ), substitute values

`(3)/(9)` =
`(4.5)/(BC)` ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C