Question

to determine the distance between points d and l, start by dragging point c to form right triangle cdl so that the legs are parallel to the axes. there are two locations for point c that will form a right triangle: (-4, 10) and (11, -9).
in both places where you can place point c to form the right triangle cdl, the horizontal distance between points d and l, |x₂ - x₁| = blocks, and the vertical distance between points d and l, |y₂ - y₁| = blocks.
use the distance formula to determine the distance between points d and l.
(x₂ - x₁)² = enter the square of the horizontal distance.

Explanation:

Step1: Find horizontal distance

Let the two - point coordinates be $(-4,10)$ and $(11, - 9)$. The horizontal distance is calculated by the difference in $x$ - coordinates. $|x_2 - x_1|=|11-(-4)|=|11 + 4|=15$.

Step2: Find vertical distance

The vertical distance is calculated by the difference in $y$ - coordinates. $|y_2 - y_1|=| - 9-10|=| - 19|=19$.

Step3: Find square of horizontal distance

$(x_2 - x_1)^2=15^2 = 225$.

Answer:

The horizontal distance $|x_2 - x_1|$ is 15 blocks, the vertical distance $|y_2 - y_1|$ is 19 blocks, and $(x_2 - x_1)^2$ is 225.