# The middle line of the trapezoid is 16 cm. Find the bases of the trapezoid if they are 3: 5.

January 15, 2021 | education

| Since the length of the middle line of the trapezoid is half the sum of its bases, the length of which is 3: 5, we express it as follows:

3x – the length of the smaller base of the BC;

5x – the length of the greater base of the blood pressure;

(3x + 5x) / 2 = 16;

3x + 5x = 16 2 = 32;

8x = 32;

x = 32/8 = 4;

BC = 3 4 = 12;

AD = 5 4 = 20.

Answer: the bases of the trapezoid are 12 cm and 20 cm.

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