Answer:
[tex]d\approx 16.16\ units[/tex]
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The triangle formed by the points N (7,3), 0(-8, -3), and P(-8,-8) is shown in the image provided.
We are required to find the distance between N and O:
[tex]d=\sqrt{(-3-3)^2+(-8-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-15)^2}[/tex]
[tex]d=\sqrt{36+225}[/tex]
[tex]d=\sqrt{261}[/tex]
Since 261=9*29:
[tex]d=3\sqrt{29}[/tex]
[tex]\mathbf{d\approx 16.16\ units}[/tex]
