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The distance formula calculates the straight-line distance between two coordinate points. It is derived from the Pythagorean theorem: the horizontal and vertical differences form the legs of a right triangle, and the distance is the hypotenuse.
Guide étape par étape
- 1Find Δx = x₂ − x₁ (horizontal difference)
- 2Find Δy = y₂ − y₁ (vertical difference)
- 3Distance d = √(Δx² + Δy²)
Exemples résolus
Entrée
(0,0) to (3,4)
Résultat
5
√(9+16)=5 — classic 3-4-5 right triangle
Entrée
(1,1) to (7,9)
Résultat
10
√(36+64)=√100=10