The base of the trapezoid is 3: 5, and the midline is 32 cm. Find the base of the trapezoid.

univerkov | May 21, 2021 | education

Let the length of the smaller base be 3 * X cm, then, by condition, the length of the larger base is 5 * X cm.

The middle line of a trapezoid is equal to half the sum of the lengths of its bases.

KM = 32 = (3 * X + 5 * X) / 2.

8 * X = 64.

X = 8.

Then BC = 3 * 8 = 24 cm.

AD = 5 * 8 = 40 cm.

Answer: The bases of the trapezoid are 24 cm and 40 cm.

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