The middle line of the trapezoid is 29 and the smaller base is 21. Find the larger base of the trapezoid.

Let the larger base of the trapezoid be X cm.

Since the middle line of a trapezoid is equal to half the sum of the lengths of its bases, then

29 = (21 + X) / 2.

X = 2 * 29 – 21 = 58 – 21 = 37 cm.

Answer: The larger base is 37 cm.



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