Question

Find the distance between (-7,2) and (3,-1)​

Answer 1

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GIVEN THAT :-

$&#10145$ Given two points (–7,2) and (3,–1)

FORMULA

$&#10145$ Distance between two points (x1,y1) and (x2,y2)

$&#10152 \: \: D = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

SOLUTION

Distance

$\implies \: \: \sqrt{ {(3 + 7)}^{2} + { (- 1 - 2)}^{2} } \\ \\ \implies \: \: \sqrt{ {(10)}^{2} + {( - 3)}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: \: \sqrt{100 + 9} = \sqrt{109} \: \: \: \: \: \: \: \:$