The middle line of the trapezoid is 8 cm and one of its base is 5 cm less than the other, find the main trapezoid.

univerkov | August 4, 2021 | education

Let the length of the smaller base be equal to X cm, then, by condition, the length of the larger base is (X + 5) cm.

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

KP = (BC + AD) / 2.

8 = (X + X + 5) / 2.

2 * X + 5 = 16.

2 * X = 11.

X = BC = 11/2 = 5.5 cm.

Then AD = 5.5 + 5 = 10.5 cm.

Answer: The bases of the trapezoid are 5.5 cm and 10.5 cm.

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