Calculate the distance between two points using the distance formula with detailed step-by-step solutions and midpoint calculation.
The distance formula comes from the Pythagorean theorem:
The midpoint is the average of coordinates:
It's the point exactly halfway between the two points.
Finding lengths of sides in triangles, diagonals in rectangles, and distances in coordinate geometry problems.
Calculating displacement, finding distances between objects, and analyzing motion in 2D space.
Collision detection, pathfinding algorithms, and calculating distances between pixels or objects.
GPS systems, mapping applications, and calculating straight-line distances between locations.