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Euclidean and Taxicab Distance

Distance in Euclidean Geometry

Manipulate points A and B by moving them with the move tool or by entering their coordinates in the input boxes. The horizontal distance (AC) and the vertical distance (BC) are given. In Euclidean Geometry, we use the Pythagorean Theorem to determine the distance between the original points (AB). The formula, exact value, and approximate value are given in the box above.

Distance in Taxicab Geometry.

In Taxicab Geometry we simply add together the vertical and horizontal distances, as indicated by the formula in the box.