In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
Attached Figure / Diagram
A
5.6 cm
B
11.2cm
C
11.4cm
D
28.0cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{PQ}{PR}=\frac{XZ}{XY}; \frac{PQ}{8}=\frac{3.5}{5}\\
PQ=\frac{8\times 3.5}{5}=\frac{28}{5}=5.6cm\)
Source: Myschool Past Questions Archive (Record #26640)