In the diagram, R\(\hat{P}\)Q = Q\(\hat{R}\)Y, P\(\hat{Q}\)R = R\(\hat{Y}\)Q, |QP| = 8 cm, |QY| = 4 cm, and |RY| = 5 cm. Find |QR|.
Attached Figure / Diagram
A
2.0cm
B
2.5cm
C
6.4cm
D
10.0cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{PR}{QR} = \frac{QR}{QY} = \frac{QP}{YR}\) (SSS Congruence)
\(\frac{QR}{4} = \frac{8}{5}\)
\(QR = \frac{4 \times 8}{5}\)
= 6.4 cm
Source: Myschool Past Questions Archive (Record #26622)