If you need to calculate the distance between two points in three-dimensional space, the 3D Distance Calculator is a helpful tool. It uses the Pythagorean theorem to determine the distance between two points in 3D space.

Three Dimensional Distance Calculator Results d = 9.273618495495704 |

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## Interesting Facts

The Pythagorean theorem, which is used to calculate distances in 3D space, is named after the ancient Greek mathematician Pythagoras. This theorem is also the basis for the formula used to calculate the distance between two points in two-dimensional space.

## Formula

The formula for calculating the distance between two points in three-dimensional space is:

distance = sqrt((x2 - x1)^{2} + (y2 - y1)^{2} + (z2 - z1)^{2})

Where:

**x1**, **y1**, **z1**: the coordinates of the first point **x2**, **y2**, **z2**: the coordinates of the second point **sqrt**: the square root function

## Example

Suppose you have two points in 3D space: (2, 3, 4) and (5, 7, 1). To find the distance between these two points using the 3D Distance Calculator, simply input the coordinates into the calculator and it will give you the answer:

- x1 = 2
- y1 = 3
- z1 = 4
- x2 = 5
- y2 = 7
- z2 = 1

Using the formula, we can calculate the distance:

distance = sqrt((5 - 2)^{2} + (7 - 3)^{2} + (1 - 4)^{2}) = sqrt(9 + 16 + 9) = sqrt(34) ≈ 5.83

So the distance between the two points is approximately 5.83 units.

## Real-Life Applications

The 3D Distance Calculator can be used in many real-life applications, including:

- Architecture and engineering, to calculate the distance between two points in three-dimensional space, such as the distance between two points on a building's facade or between two points on a bridge.
- Physics, to calculate the distance between two points in three-dimensional space, such as the distance between two planets or the distance between two particles in a collider.
- Geography, to calculate the distance between two points on the surface of the earth, which can be modeled as a three-dimensional space.

The 3D Distance Calculator is a simple but powerful tool that can be used to calculate distances between any two points in three-dimensional space. Whether you're an engineer, a physicist, or just someone who loves math, this calculator can help you solve a wide range of problems.

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