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Euclidean distance

Adapted from Wikipedia Β· Explorer experience

A diagram showing how to measure distance between two points in 3D space using Euclidean distance.

What Is Euclidean Distance?

Euclidean distance is a way to measure how far apart two points are. Imagine you have two dots on a piece of paper. The Euclidean distance tells you how long a straight line would be if you could draw it between those dots. It’s like using a ruler to measure the shortest path!

This idea comes from old Greek mathematicians. They loved studying shapes and numbers. One of them was Pythagoras, who found a special rule to help calculate distances. His rule is called the Pythagorean theorem.

How Do We Find It?

To find the Euclidean distance, we use something like addresses for the points. These addresses are called Cartesian coordinates. They tell us where each point is on the paper. If we know these addresses, we can use a simple rule to work out the distance.

People use Euclidean distance in many places. It helps in statistics when they study data. It also helps computers and scientists solve many problems. Even though there are other ways to measure distance, Euclidean distance is one of the most basic and easy to understand.

Fun Picture

This picture shows how we can use a triangle to find the distance between two points. Just like solving a fun puzzle!

This article is a child-friendly adaptation of the Wikipedia article on Euclidean distance, available under CC BY-SA 4.0.

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