Find the distance, $d$ , of $A B$ .
$A = (1, 0) B = (5, 2)$
$\begin{matrix} d = \sqrt{{| x_{2} - x_{1} |}^{2} + {| y_{2} - y_{1} |}^{2}} \\ d = [?] \end{matrix}$
Round to the nearest tenth.
Distance

Answer

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Answer

$4.5$

Steps

Step 1 ：Find the distance between points A and B using the distance formula: $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

Step 2 ：Plug in the coordinates of A (1, 0) and B (5, 2) into the formula: $d = \sqrt{(5 - 1)^{2} + (2 - 0)^{2}} = \sqrt{16 + 4} = \sqrt{20}$

Step 3 ：Simplify the final answer: $d = 2 \sqrt{5} \approx 4.5$

Step 4 ： $4.5$