Distance Between Points

Measure the straight-line distance between two points on a plane and find their midpoint. Uses the distance formula for geometry, maps and games.

Try it now

Distance: 5 · Midpoint: (1.5, 2)

Worked on the example above, step by step — follow along and you can do it on paper next time, no tool required.

The distance formula is the Pythagorean theorem applied to the horizontal and vertical gaps between two points.
Find the horizontal and vertical gaps
Δx = 3 − 0 = 3, Δy = 4 − 0 = 4
Square them, add, take the square root
√(3² + 4²) = 5
Midpoint is the average of the coordinates
((0 + 3) ÷ 2, (0 + 4) ÷ 2) = (1.5, 2)

Distance from (0,0) to (3,4)?

5, with a midpoint at (1.5, 2).

What formula is used?

The Pythagorean distance √((x₂−x₁)² + (y₂−y₁)²).