The formula of measuring distance in a plane.

The formula for measuring distance in a plane is derived from the Pythagorean theorem and is given by:

d = sqrt[(x2 - x1)² + (y2 - y1)²]

Here's a step-by-step guide on how to use this formula:

Step 1: Identify the coordinates of the two points in the plane. Let's say the coordinates of the first point are (x1, y1) and the coordinates of the second point are (x2, y2).

Step 2: Subtract the x-coordinate of the first point from the x-coordinate of the second point. Square the result.

Step 3: Subtract the y-coordinate of the first point from the y-coordinate of the second point. Square the result.

Step 4: Add the results from step 2 and step 3.

Step 5: Take the square root of the result from step 4. This is the distance between the two points in the plane.