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Distance Formula

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Distance Formula

A mathematical formula that is used to find out the distance between two points in a coordinate plane is a distance formula. The formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where d signifies the distance between the two points, (x1, y1) and (x2, y2) represent the coordinates of the two points and √ represents the square root symbol.

You will require to know the coordinates of the two points to use the distance formula. The coordinates of a point in a coordinate plane are given as an ordered pair of numbers, such as (x, y). The first number, x, is the point's distance from the y-axis, and the second number, y, is the point's distance from the x-axis.

For example, consider the two points (3, 4) and (5, 6). To find the distance between these two points, we plug the coordinates into the distance formula:

d = √((5 - 3)^2 + (6 - 4)^2) = √(2^2 + 2^2) = √(4 + 4) = √8 = 2.83

So the distance between the points (3, 4) and (5, 6) is 2.83.

The distance formula is an important tool in geometry and has many real-world applications, such as in navigation, where it is used to determine the distance between two locations. It is also used in physics, engineering, and other fields where distances need to be measured or calculated.

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