Final answer:
Without the radius of the circle or the length of the second chord, the difference in lengths between the two chords cannot be determined with the information provided in the question.
Step-by-step explanation:
The question asks to find the difference in lengths of two parallel chords on different sides of the center of a circle. Without the radius of the circle, we cannot directly calculate the length of the second chord. However, given that the distance between the two chords is 17 cm and one chord is 10 cm, we would usually use the properties of similar triangles formed by the radii and the chords to find the length difference.
Since this question does not provide a radius or a way to find the measurements of the second chord, we're unable to solve it with the information provided. To continue, we'd need more details like the radius of the circle or the length of the second chord.
In this case, the distance between the chords is 17 cm, which means the perpendicular distance from the center to one of the chords is 8.5 cm. Since the distance from the center to the chord is also the radius of the circle, we can subtract 8.5 cm from the length of one chord to find the difference in lengths. So, the answer is 10 cm - 8.5 cm = 1.5 cm.