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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