The sides of the trapezoid are 18 cm and 12 cm, and the perimeter is 50 cm. Find the middle line of the trapezoid.

univerkov | September 25, 2021 | education

Knowing the perimeter of the trapezoid and the lengths of its lateral sides, we determine the sum of the lengths of the bases of the trapezoid.

(BC + AD) = Ravsd – AB – CD = 50 – 12 – 18 = 20 cm.

Since the middle line of the trapezoid is equal to the half-sum of the lengths of its bases, then KM = (BC + AD) / 2 = 20/2 = 10 cm.

Answer: The length of the middle line of the trapezoid is 10 cm.

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