The middle line of the trapezoid is 16, the base is 23. Find another base.

From the condition we know that the middle line of the trapezoid is 16, and the base is 23. In order to find another base, we compose and solve a linear equation.

Let us denote by the variable x the length of the unknown base.

Let’s remember the formula for finding the midline of a trapezoid.

m = (a + b) / 2, where a and b are the lengths of the trapezoid bases.

Substitute the known values and solve the resulting equation.

(23 + x) / 2 = 16;

23 + x = 16 * 2;

23 + x = 32;

x = 32 – 23;

x = 9 equals the second base of the trapezoid.

Answer: 9 is the second base of the trapezoid.