A pool table is shown. On the table, a triangle is drawn to connect the cue ball, the eight ball, and the top right pocket. The distance between the cue ball and eight ball is 8 inches, the distance between the eight ball and the pocket is 6 inches, and the distance between the cue ball and the pocket is unknown.
You are told that in a billiards shot, the cue ball was shot at the eight ball, which was 8 inches away. As a result, the eight ball rolled into a pocket, which was 6 inches away.


Knowing that the angle made with the path of the cue ball and the resulting path of the eight ball is larger than 90°, it can be determined that the original distance from the cue ball to the pocket was greater than ______ inches.
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