The three-dimensional Pythagorean theorem yields a formula for the distance between two points (x1, y1, z1) and (x2, y2, z2) in space:
d = √[(x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2] = √[(4 - 1)2 + (5 - 2)2 + (6 - 3)2] = √(32 + 32 + 32) = √27 = 3√3 ≈ 5.2
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