# The bases of the trapezoid are 5: 6, and the midline is 22 cm. Find the bases of the trapezoid.

August 22, 2021 | education

| The middle line of the trapezium connects the midpoints of its lateral sides. It is parallel to its bases and is equal to half of their sum:

m = (a + b) / 2.

Since the length of the bases of the trapezoid is 5: 6, and its middle line is 22 cm, we express it as follows:

5x – the length of the smaller base of the BC;

6x – the length of the greater base of the blood pressure;

(5x + 6x) / 2 = 22;

5x + 6x = 22 2;

11x = 44;

x = 44/11 = 4;

BC = 4 5 = 20 cm;

HELL = 4 6 = 24 cm.

Answer: The middle line of this trapezoid is 24 cm.

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