# Find the larger base of the trapezoid, Find the larger base of the trapezoid if its midline is 10 and the smaller base is 6.

January 17, 2021 | education

| A trapezoid is a quadrilateral in which one pair of opposite sides is parallel, and the sides are not equal to each other.

The midline of a trapezoid is a line segment connecting the midpoints of the sides of the trapezoid. It is parallel to the bases, and its length is equal to half the sum of the bases:

m = (a + b) / 2, where:

m is the middle line of the trapezoid;

a – smaller base of the BC trapezoid;

b – the greater base of the trapezium blood pressure.

In this way:

(a + b) = m 2;

b = 2 m – a.

AD = 2 10 – 6 = 20 – 6 = 14 cm.

Answer: the length of the larger base of blood pressure is 14 cm.

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