The bases of the trapezoid are in a ratio of 2: 3. Its middle line is 24 dm. Find the base of the trapezoid.

univerkov | September 24, 2021 | education

Let the length of the smaller base be 2 * X cm, then, by condition, the length of the larger base is 3 * X cm.

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

KM = 24 = (2 * X +3 * X) / 2.

5 * X = 48.

X = 9.6.

Then BC = 2 * 9.6 = 19.2 dm.

AD = 3 * 9.6 = 28.8 dm.

Answer: The bases of the trapezoid are equal to 19.2 dm and 28.8 dm2.

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