In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
-
A.
5.6 cm -
B.
11.2cm -
C.
11.4cm -
D.
28.0cm
Correct Answer: Option A
Explanation
(frac{PQ}{PR}=frac{XZ}{XY}; frac{PQ}{8}=frac{3.5}{5}\
PQ=frac{8times 3.5}{5}=frac{28}{5}=5.6cm)