📏 Distance Between Two Points on a Coordinate Plane Lab
The segment joining two points becomes the hypotenuse of a Pythagorean right triangle
Move points A and B around the coordinate plane with the sliders. The segment joining them is always the hypotenuse of a right triangle whose legs run horizontal and vertical — and its length can be found exactly with the Pythagorean theorem.
Distance formula between two points: the distance between A(x₁,y₁) and B(x₂,y₂) is the hypotenuse of a right triangle whose legs are the horizontal difference (x₂−x₁) and the vertical difference (y₂−y₁). So distance = √{(x₂−x₁)² + (y₂−y₁)²}.