Distance Formula

For two points A(x₁

For two points A(x₁, y₁) and B(x₂, y₂), we form a right triangle where AC = |x₂ - x₁| and BC = |y₂ - y₁|. Using Pythagoras theorem: AB² = AC² + BC², w

The distance of any point (x

The distance of any point (x, y) from origin (0, 0) is simply √(x² + y²). This is a special case of the general distance formula where one point is th

Points on x

Points on x-axis have coordinates (x, 0) and points on y-axis have coordinates (0, y). This knowledge is crucial when finding points at specific dista

Three points

Three points A, B, C are collinear if AB + BC = AC or AB + AC = BC or AC + BC = AB. We calculate all three distances and check if any two distances ad

Using distance formula to find all

Using distance formula to find all three sides, we can classify triangles: Right triangle (a² + b² = c²), Isosceles (two sides equal), Equilateral (al