In the accompanying diagram of circle O chords AB and CD intersect at point E. If AE=4, EB=9, and CE=6, what is the length of ED?
First, we need to use the intersecting chords theorem, which states that:
AE * EB = CE * ED
Plugging in the given values, we get:
4 * 9 = 6 * ED
36 = 6 * ED
ED = 6
Therefore, the length of ED is 6.