Question

find the distance (2,3) , ( 4,1)​

Answer 1

Formula of finding distance between 2 points :

$\sqrt{ {( x_{2} - x_{1} )}^{2} + {( y_{2} - y_{1})}^{2} }$

Here,

$x_{1} = 2 \: and \: y_{1} = 3 \\ \\ x_{2} = 4 \: and \: y_{2} = 1$

On putting the values in formula of finding distance:

$\sqrt{ {(4 -2) }^{2} + {(1 - 3)}^{2} } \\ \\ = > \sqrt{ {2}^{2} + {( - 2)}^{2} } \\ \\ = > \sqrt{4 + 4} \\ \\ = > \sqrt{8} = 2 \sqrt{2}$

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Answer 2

the distance between (2,3),(4,1)is 2√2