# The midline of the trapezoid is 29 and the smaller base is 21. Find the larger rigging of the trapezoid.

December 29, 2020 | 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;

m is the middle line of the trapezoid NK;

a – smaller base of the BC trapezoid;

b – greater base of blood pressure.

In this way:

NC = (BC + AD) / 2;

(BC + AD) = 2 ∙ NK;

AD = 2 ∙ NK – BC;

AD = 2 ∙ 29 – 21 = 58 – 21 = 37 cm.

Answer: the length of the larger base is 37 cm.

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