The middle line of the trapezoid is 24 cm, and its bases are in a ratio of 3: 5. Find the basics of a trapezoid

univerkov | February 9, 2021 | education

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

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

KР = (BC + AD) / 2.

24 = (3 * X + 5 * X) / 2.

8 * X = 48.

X = 48/8 = 6.

Then AB = 5 * 6 = 30 cm.

BC = 3 * 6 = 18 cm.

Answer: The bases of the trapezoid are 18 cm and 30 cm.

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