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Coordinate Geometry

GE.H.1Distance & midpoint01/04

Distance and midpoint formulas.

The two points

A (2, 1) and B (8, 9)

Step01of 04

Distance formula — the Pythagorean theorem applied to the change in x and the change in y.

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

The horizontal leg has length $∣ x_{2} - x_{1} ∣$ , the vertical leg has length $∣ y_{2} - y_{1} ∣$ ; their hypotenuse is the distance between the points.

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GE.H.1 – GE.H.3 · CCSS G.GPE.B.7 / G.GPE.B.5·Full curriculum →