The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base.
To find the length of the other base of the trapezoid, we can use the formula for the length of the median:
Median = (base1 + base2) / 2
Given that the length of one base (base1) is 19 meters and the length of the median is 23 meters, we can substitute these values into the formula:
23 = (19 + base2) / 2
To solve for base2, we need to isolate it. Multiply both sides of the equation by 2:
2 * 23 = 19 + base2
46 = 19 + base2
Next, subtract 19 from both sides of the equation:
46 - 19 = base2
27 = base2
Therefore, the length of the other base (base2) is 27 meters.