These questions are based on the situation given below:
A rectangle PRSU is divided into two smaller rectangles PQTU and QRST by the line TQ. \( PQ = 10 \, \text{cm}, \quad QR = 5 \, \text{cm}, \quad RS = 10 \, \text{cm} \). Points A, B, F are within the rectangle PQTU and, points C, D, E are within the rectangle QRST. The closest pair of points among the pairs \( (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) \) are \( \frac{10}{\sqrt{3}} \, \text{cm} \) apart.