Final answer:
The possible lengths of the sides of ARST are 5 cm, 7 cm, and 9 cm.
Step-by-step explanation:
To determine the possible lengths of the sides of ARST, we need to analyze the given information. We are told that ANOP has side lengths of 5 cm, 7 cm, and 9 cm. Since ANOP is congruent to ARST, the corresponding sides of both polygons should have the same lengths.
Therefore, the possible lengths of the sides of ARST are 5 cm, 7 cm, and 9 cm.