javascript

findDistanceTwoPoints2D()

Parameters: (x1: number, y1: number, x2: number, y2: number)

The coordinates (x1, y1) and (x2, y2) of two points in a 2D plane

Returns: The Euclidean distance as a number

The function takes four arguments, representing the coordinates (x1, y1) and (x2, y2) of the two points. It calculates the distance using the Pythagorean theorem.

variables
functions
arithmetic operations
Easy dificulty

Creating a function to compute distance between two points in 2D using JavaScript

Hello there, programmer! Welcome to this post. We've got a technical challenge to crack here. We'll be writing a JavaScript function to calculate the distance between two points in a 2D space. Once you finish this task, you'll have a reusable function available to include in any of your projects where you need to work with two-dimensional geometry. Let's start!

Step 1: Understanding the Problem

To find the distance between two points in a two-dimensional plane, we will make use of the Pythagorean theorem. This theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be used to find the distance (d) between two points (x1, y1) and (x2, y2), which can be calculated using the formula: d = sqrt((x2-x1)^2 + (y2-y1)^2).

Step 2: Function Declaration

First, we declare a function getDistance that takes four parameters: x1, y1, x2, y2. These parameters represent the coordinates (x, y) of two points respectively.

function getDistance(x1, y1, x2, y2) {

}

Step 3: Implementing the Formula

Inside the getDistance function, we implement the formula for calculating the distance between two points. We use Math.pow to calculate the square and Math.sqrt to calculate the square root.

function getDistance(x1, y1, x2, y2) {
  var distance = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
  return distance;
}

Step 4: Testing the Function

Now, we need to test our function to be sure that it is working correctly. We can do this by calling the function with sample points. For instance, if we call getDistance(0, 0, 3, 4), it should return 5 because these points form a right-angled triangle.

var result = getDistance(0, 0, 3, 4);
console.log(result);  // 5

Step 5: Conclusion

That's it! We have successfully created a function in JavaScript to calculate the distance between two points in a 2D plane. You can reuse this function in your applications whenever you need to perform such calculations.

Here is the full code:

function getDistance(x1, y1, x2, y2) {
  var distance = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
  return distance;
}

var result = getDistance(0, 0, 3, 4);
console.log(result);  // 5

Learn function in:

Distance Between Two Points in 2D

Calculate the Euclidean distance between two points in two-dimensions

Learn more

Mathematical principle

The distance `d` between two points `(x1, y1)` and `(x2, y2)` in a two-dimensional space is calculated using Pythagorean theorem. The formula is `d = sqrt((x2-x1)^2 + (y2-y1)^2)`, where `sqrt` represents the square root function. This theorem is applicable as the space between two points forms the hypotenuse in the right triangle defined by these points.

Learn more