Math, asked by raj8262888209, 9 months ago

distance between two points (5,7),(1,3)

Answers

Answered by Mihir1001

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$Answer:$

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$\huge\boxed{4 \sqrt{2} units}$

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$Step-by-step-explaination:$

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let,

$(x_1, y_1) = (5, 7)$

$(x_2, y_2) = (1,3)$

Hence,

required distance

$= \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }$

$= \sqrt{ {(5 - 1)}^{2} + {(7 - 3)}^{2} }$

$= \sqrt{ {(4)}^{2} + {(4)}^{2} }$

$= \sqrt{16 + 16}$

$= \sqrt{32}$

$= \sqrt{4 \times 4 \times 2}$

$= 4 \sqrt{2} \: units$

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