Problem

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

Solution

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 :\(\boxed{4.5}\)

From Solvely APP
Source: https://solvelyapp.com/problems/40605/

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