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The formula for calculating distance between two points is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

d is the distance between the two points.

x₁ and x₂ are the x-coordinates of the two points.

y₁ and y₂ are the y-coordinates of the two points.

The formula is based on the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance between the two points is the hypotenuse of the right triangle formed by the two points and the x- and y-axes.

For example, if the x-coordinates of the two points are 1 and 3, and the y-coordinates of the two points are 2 and 4, then the distance between the two points is:

d = √[(3 - 1)² + (4 - 2)²] = √(4 + 4) = √8 = 2√2

The distance between the two points is 2√2 units.

The formula for calculating distance can be used to find the distance between any two points, regardless of their coordinates. It can be used to find the distance between two cities, two countries, or two planets. It can also be used to find the distance between two objects in a physical model, such as a scale model of a city.

The distance formula is a simple but powerful tool that can be used to measure distances in a variety of contexts.

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jat206825

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1y ago

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