Let the length of the larger base of the trapezoid be X cm.
Since the length of the middle line of the trapezoid is equal to half the sum of the lengths of its bases, then according to the formula for the middle line:
23 = (X + 15) / 2.
X = 46 – 15.
X = 31 cm.
Answer: The length of the larger base of the trapezoid is 31 cm.
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