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# Distance Formula in 2- and 3-Dimensional Space

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Explain how to derive the formula for the distance between two points in analytic geometry in 3-space. (list each necessary step and describe all terms used). Also to discuss how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
Provide at least three examples of how the distance formula can be used in real-life situations.
Include technology functions using a graphing calculator and computer software applications

https://brainmass.com/math/trigonometry/distance-formula-dimensional-space-248892

#### Solution Preview

Analytic Geometry: Distance Formula
Explain how to derive the formula for the distance between two points in analytic geometry in 3-space. (list each necessary step and describe all terms used). Also to discuss how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
Provide at least three examples of how the distance formula can be used in real-life situations.
Include technology functions using a graphing ...

#### Solution Summary

This solution explains how to derive a distance formula in three dimensions and explains how the Pythagorean theorem is used in this process.

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