Distance Between Two Points
Distance Between Two Points
The distance formula — the Pythagorean theorem in coordinates — gives the straight-line span between two surveyed points.
The distance is d = √((x_2−x_1)² + (y_2−y_1)²). where (x_1, y_1) and (x_2, y_2) are the two points.
Inputs
x_1 := 10 m=10 m
y_1 := 20 m=20 m
x_2 := 70 m=70 m
y_2 := 100 m=100 m
Apply the coordinate distance formula.
d := sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)=100 m
Results
This 60–80 offset gives a 100 m distance. The method extends to three dimensions by adding a z-term and underlies all coordinate geometry.
Assumptions & limitations
- Cartesian coordinates.
- Straight-line (Euclidean) distance.
- Consistent units.