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uranmaximum [27]
2 years ago
5

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

Mathematics
1 answer:
Leokris [45]2 years ago
4 0

Answer:

d\approx 16.16\ units

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

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}

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