Question

17.
Find the distance between the points (2, 3) and ( 4, 1).​

Answer 1

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Answer 2

$\blue{ \bf\underline{\large {Distance \: Formula : }}}$

$\boxed{ \bold{ \large \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

Here ;

$(x1,y1) = (2,3) \\ (x2,y2) = (4,1)$

That is :

$x1 = 2 \: \: \: \: \: \: \: x2 = 4 \\ y1 = 3 \: \: \: \: \: \: \: y2 = 1$

Substituting the given values in the equation;

$\sqrt{ {(4 - 2)}^{2} + {(1 - 3)}^{2} }$

$\sqrt{ {(2)}^{2} + {( - 2)}^{2} }$

$\sqrt{4 + 4}$

$\sqrt{8}$

$\sqrt{4 \times 2}$

$\boxed{2 \sqrt{2} }$

$\\ \\ \\ \\ \\ \purple{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$