In the ABCD trapezoid, the smaller base BC is 4 cm. Find the larger base AD if the middle line of the trapezoid EF is 5 cm.

univerkov | September 3, 2021 | education

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

KM = (BC + AD) / 2.

(BC + AD) = KM * 2.

AD = 2 * KM – BC.

AD = 2 * 5 – 4 = 10 – 4 = 8 cm.

Answer: The length of the larger base of the trapezoid is 8 cm.

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