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Ответ:

[tex]|AB| = \sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 + (z_{2} -z_{1})^2} = \sqrt{(5-8)^2 + (5-7)^2+(-10+4)^2} = \sqrt{9+4+36} = \sqrt{49} = 7[/tex]