Distance Formula
d = √[( x₂ – x₁)² + (y₂ – y₁)²]
The distance formula is a mathematical formula used to find the distance between two points in a Cartesian plane. The formula is derived from the Pythagorean theorem and is as follows:
Distance = sqrt((x2 – x1)^2 + (y2 – y1)^2)
In this formula, (x1, y1) and (x2, y2) are the coordinates of the two points.
To use the distance formula, simply plug in the values of the coordinates of the two points into the formula and solve for the distance. For example, suppose we want to find the distance between the points (1, 2) and (4, 6):
Distance = sqrt((4 – 1)^2 + (6 – 2)^2)
Distance = sqrt(9 + 16)
Distance = sqrt(25)
Distance = 5
Therefore, the distance between the points (1, 2) and (4, 6) is 5 units. The distance formula can be used to find the distance between any two points in a Cartesian plane.
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