Find the distance between the points A(5, 8) | vedclass

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(B) The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given p

Vedclass · Accepted Answer

$2 \sqrt{13}$

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(B) The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(5, 8)$ and $B(1, 2)$.Here,$x_1 = 5, y_1 = 8, x_2 = 1, y_2 = 2$.Substituting these values into the formula:$AB = \sqrt{(1 - 5)^2 + (2 - 8)^2}$$AB = \sqrt{(-4)^2 + (-6)^2}$$AB = \sqrt{16 + 36}$$AB = \sqrt{52}$$AB = \sqrt{4 	imes 13}$$AB = 2 \sqrt{13}$.

Find the distance between the points $A(5, 8)$ and $B(1, 2)$.

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