The middle line of the trapezoid is 25 and the smaller base is 17. Find the larger base of the trapezoid.

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

The middle line 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 НK;

a – smaller base of the BC trapezoid;

b – larger AD base.

Thus:

НK = (BC + AD) / 2;

(ВС + АD) = 2 ∙ НК;

AD = 2 ∙ НК – ВС;

AD = 2 * 25 – 17 = 50 – 17 = 33 cm.

Answer: the length of the larger base is 33 cm.