This lesson shows how to apply the distance formula in \(2D\) by solving step‑by‑step examples.

The distance formula is one of the most important topics in coordinate geometry. It has many real‑world applications and connects to distance formulas in higher dimensions. In \(2D\), the points lie on a Coordinate plane.

❖ According to the distance formula in \(2D\):

The distance between two points on the plane is the square root of the sum of the squares of the differences in \(x\) and \(y\).

So, if you know the coordinates of two points, you can easily calculate the distance between them using:

$$d=\sqrt{(x_2 − x_1)^2 + (y_2 − y_1)^2}$$

The distance formula is actually the Pythagorean Theorem applied on the coordinate plane.

✅ Perfect for students learning how to use the distance formula in \(2D\) with clear examples and easy-to-follow visual explanations. Strengthen your understanding of coordinate geometry!

✨ Watch next:

🔹 Distance Formula in \(3D\)