If two chords intersect each other inside a circle, the products of their segments are equal.
If M is midpoint of AB, then AM = MB = 24/2 = 12.
<span>Product of the lengths of the segments AM and MB:
</span>AM * MB = 12 * 12 = 144
<span>So, any chord of circle O that intersects AB at its midpoint, M, wll be separated by M into two segments such that the product of the lengths of the segments is 144.
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