In a trapezoid, the middle line is 12 cm. The smaller base is 5. Find the length of the largest base.

From the condition, we know that in a trapezoid, the middle line is 12 cm. The smaller base is 5. In order to find the length of the largest base, let’s create and solve a linear equation.
Let’s remember the definition of the midline of a trapezoid and the formula for calculating it.
The middle line of a trapezoid is the segment that connects the midpoints of the sides and is parallel to the bases.
Formula for finding the midline:
m = (a + b) / 2;
Substitute the known values and get:
(5 + x) / 2 = 12;
5 + x = 24;
x = 24 – 5;
x = 19 cm length of the larger base.