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what is the distance formula for geometry. Assume that we have two points x_1 y_1 and x_2 y_2 then the distance formula is computed as follows. For an in-depth look at the distance formula see our lesson Distance Formula.
D sqrt x_2 - x_12 y_2 - y_12 d x2. PQ x2 x12 y2 y12 Or. AB x2 x12 y2 y12 A B x 2 x 1 2 y 2 y 1 2 This is the widely used distance formula to determine the distance between any two points in the coordinate plane.
Since this format always works it can be turned into a formula.
D x 2 x 1 2 y 2 y 1 2. D displaystyle sqrtx_1 - x_22 y_1 - y_22 Explanation. The distance formula is derived from the Pythagorean theorem. Now imagine two points lets say they are 00 and 34 to keep it simple.