Question

Could any one explain this problem?

Answer 1

Answer:

C

Step-by-step explanation:

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

$\frac{AQ}{AC}$ = $\frac{PQ}{BC}$ ( note that AC = 3 + 6 = 9 ), substitute values

$\frac{3}{9}$ = $\frac{4.5}{BC}$ ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C