Let line AB and line CD be chords of a circle, that meet at the point Q inside the circle. If AQ = 16, BQ = 12, and CD = 36, then find the minimum length of CQ.
The minimum length of CQ is 5.
16 * 12 = 192
CQ(36 - CQ) = 192
CQ = 2(9 - √33) or 6.510874707