The sides of the trapezoid are 13cm and 15cm and the perimeter is 48cm. Find the middle line of the trapezoid.

univerkov | March 1, 2021 | education

By condition, the perimeter of the trapezoid is 48 cm, and the lengths of the sides are 13 cm and 15 cm, then the sum of the lengths of the bases of the trapezoid can be determined.

(AD + BC) = Ravsd – AB – CD = 48 – 13 – 15 = 20 cm.

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

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

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