To find the length of the vertical side defined by the given coordinates, we need to look for the points that have the same x-coordinate, as vertical distance is measured between points on the same vertical line.
The coordinates provided are:
- (15, -3)
- (19, -6)
- (15, -10)
We can see that the points (15, -3) and (15, -10) have the same x-coordinate (15), so we will calculate the vertical distance between these two points.
The vertical distance can be determined using the formula for the difference in y-coordinates:
\[ \text{Vertical distance} = |y_1 - y_2| \]
Taking \(y_1 = -3\) and \(y_2 = -10\):
\[ \text{Vertical distance} = |-3 - (-10)| = |-3 + 10| = |7| = 7 \]
So, the length of the vertical side is 7 centimeters.