Question: If two chords intersect inside a circle and the lengths of the segments are 3 cm and 4 cm for one chord, and 2 cm and x cm for the other, what is the value of x?

Options:

1. 5
2. 6
3. 7
4. 8

Correct Answer: 6

Solution:

Using the intersecting chords theorem: 3 * 4 = 2 * x, so 12 = 2x, thus x = 6.