Question

Given the coordinates (15,−3)
, (19,−6)
, and (15,−10)
, what would be the length of the vertical side, in centimeters?

Answer 1

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:
1. (15, -3)
2. (19, -6)
3. (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**.