The base of the trapezoid is 6: 1 and the midline is 34m to find the base of the trapezoid.

univerkov | July 4, 2021 | education

Let the length of the smaller base of the trapezoid be equal to X cm.BC = X cm.

Then, by condition, the greater the base of the trapezoid is: AD = 6 * X cm.

The length of the midline of the trapezoid is equal to half the sum of the lengths of its bases.

KM = (BC + AD) / 2.

34 = (X + 6 * X) / 2.

7 * X = 68.

X = BC = 68/7 = 9 (5/7) m.

AD = 6 * 9 (5/7) = 58 (2/7) m.

Answer: The bases of the trapezoid are 9 (5/7) m. And 58 (2/7) m.

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