The distance between the points (5, 5) and (3, 3) is ___.

$2 u n i t s$

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$2 \sqrt{2} u n i t s$

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$\sqrt{2} u n i t s$

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$8 \sqrt{2} u n i t s$

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Solution

The correct option is B
$2 \sqrt{2} u n i t s$

The distance between two points $(x_{1}, y_{1}) a n d (x_{2}, y_{2})$ is given by $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} .$

Distance between points $(5, 5)$ and $(3, 3)$

$= \sqrt{(3 - 5)^{2} + (3 - 5)^{2}} = \sqrt{4 + 4} = 2 \sqrt{2} u n i t s$

Hence, the distance between the given points is $2 \sqrt{2}$ units.

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