What is the distance between $(5, 6)$ $(5, 6)$ and $(8, 8)$ $(8, 8)$ ?

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What is the distance between $(5, 6)$ $(5, 6)$ and $(8, 8)$ $(8, 8)$ ?

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Answer 1 · 2016-02-20T20:33:28

$\sqrt{13} \approx 3.6$ $sqrt13 ≈ 3.6$

Explanation:

To calculate the distance between 2 coordinate points use the
$distance formula$ $color(blue)" distance formula "$

$d = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)$

where $(x_{1}, y_{1}) and (x_{2}, y_{2}) are the coords of the 2 points$ $(x_1,y_1) " and " (x_2,y_2) " are the coords of the 2 points"$

here let $(x_{1}, y_{1}) = (5, 6) and (x_{2}, y_{2}) = (8, 8)$ $(x_1,y_1) = (5,6) " and "(x_2,y_2) = (8,8)$

$\Rightarrow d = \sqrt{{(8 - 5)}^{2} + {(8 - 6)}^{2}} = \sqrt{9 + 4} = \sqrt{13}$ $rArr d =sqrt((8-5)^2 + (8-6)^2) = sqrt(9+4) = sqrt13$

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What is the distance between $(5, 6)$ $(5, 6)$ and $(8, 8)$ $(8, 8)$ ?

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