The midline of the trapezoid = 41 and the smaller base = 20 Find the larger base of the trapezoid.

Given:
trapezium ABCD;
ВС and АD – bases;
KE – middle line;
KE = 41;
BC = 20.
Find a larger base AD -?
Decision:
Consider the trapezoid ABCD. The middle line of a trapezoid is equal to the half-sum of its bases, that is
(BC + AD) / 2 = 41;
(20 + АD) / 2 = 41) multiply the right and left sides by the number 2);
(20 + AD) / 2 * 2 = 41 * 2;
20 + AD = 82;
AD = 82 – 20;
AD = 62.
Hence the length of the larger base is 62.
Answer: 62.