posted by Rhonda .
Two chords intersect inside a circle. The lengths of the segment of one chord are 4 and 6. The length of the segment of the other chords are 3 and what?
The fact that you're asking this question indicates you have probably just received a theorem stating that when two chords intersect in a circle, the products of their segments are equal.
4*6 = 3*x
Before asking for help, review your materials. Even the most casual check would have revealed what was wanted.