The bases of the trapezoid are 12 and 44. Find the largest of the line segments into which one of its diagonals divides the middle line of this trapezoid.
Since the segment KM, by condition, is the middle line of the trapezoid, then the segment MO is the middle line of the triangle ACD, since OM || AD, and CM = DM and AO = CO.
Then OM = AD / 2 = 24/2 = 12 cm.
Answer: The largest of the segments is 12 cm long.
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