Question

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

P(-8,-8). What is the length, in units, of NO?

Answer 1

`d\approx 16.16\ units`

Explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

`d=√((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=√((-3-3)^2+(-8-7)^2)`

`d=√((-6)^2+(-15)^2)`

`d=√(36+225)`

`d=√(261)`

Since 261=9*29:

`d=3√(29)`

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