Question

A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and

Answer 1

Answer:

$d\approx 16.16\ units$

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:

$d=\sqrt{(z-y)^2+(w-x)^2}$

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:

$d=\sqrt{(-3-3)^2+(-8-7)^2}$

$d=\sqrt{(-6)^2+(-15)^2}$

$d=\sqrt{36+225}$

$d=\sqrt{261}$

Since 261=9*29:

$d=3\sqrt{29}$

$\mathbf{d\approx 16.16\ units}$