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Distance Between 2 Points Calculator (2D & 3D Geometry)

Analytic geometry tool. Given two points in 2D $P_1(x_1, y_1)$ and $P_2(x_2, y_2)$ or 3D $P_1(x_1, y_1, z_1)$ and $P_2(x_2, y_2, z_2)$, computes straight line Euclidean distance and Midpoint coordinates.

Input Parameters

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Estimated Output
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Adjust values on the left to calculate live results.

Formula: 2D Distance: d = √((x2-x1)² + (y2-y1)²). 3D Distance: d = √((x2-x1)² + (y2-y1)² + (z2-z1)²). Midpoint: M = ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).

In-Depth Guide & Mathematical Methodology

📍 Euclidean Distance & Midpoint Formula

2D Distance: Derived from the Pythagorean Theorem: d² = (Δx)² + (Δy)².

3D Distance: Generalization to 3 dimensions: d² = (Δx)² + (Δy)² + (Δz)².

Midpoint: The point exactly halfway between P₁ and P₂.

Frequently Asked Questions (FAQ)

What is the Distance Between 2 Points Calculator (2D & 3D Geometry) and how does it work?

Analytic geometry tool. Given two points in 2D $P_1(x_1, y_1)$ and $P_2(x_2, y_2)$ or 3D $P_1(x_1, y_1, z_1)$ and $P_2(x_2, y_2, z_2)$, computes straight line Euclidean distance and Midpoint coordinates.

How do I use this Distance Between 2 Points Calculator (2D & 3D Geometry)?

Select Dimension (2D Cartesian Plane vs 3D Spatial Space). Enter coordinates for Point 1 ($x_1, y_1, z_1$). Enter coordinates for Point 2 ($x_2, y_2, z_2$). View Euclidean Distance $d$ and Midpoint coordinates.

What mathematical formula is used in this calculation?

2D Distance: d = √((x2-x1)² + (y2-y1)²). 3D Distance: d = √((x2-x1)² + (y2-y1)² + (z2-z1)²). Midpoint: M = ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).

Is the Distance Between 2 Points Calculator (2D & 3D Geometry) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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