If the radius of ⊙ o is 10, the chord AB = 12, the chord CD = 16, and ab ∥ CD, then the distance between the two chords is______ ．

If the radius of ⊙ o is 10, the chord AB = 12, the chord CD = 16, and ab ∥ CD, then the distance between the two chords is______ ．

It can be divided into two cases: 1. As shown in the figure, through o as EF ⊥ DC to e, intersecting AB to F, connecting OC, OA, ∵ ab ∥ CD, ∥ EF ⊥ AB, according to the vertical diameter theorem: CE = 12CD = 12 × 16 = 8, AF = 12ab = 12 × 12 = 6, in RT △ CEO, according to the Pythagorean theorem: OE = oc2 − CE2 = 102 − 82 = 6, similarly, of = 8, ∥ EF = OE + of = 6 + 8 = 14; 2. As shown in the figure, EF = of-oe = 8-6 = 2; so the answer is: 14 or 2