Question

find the distance between the following points L (4,1), M (1, 3)​

Answer 1

$Let \: L(4,1) = ( x_{1},y_{1}) \: and \:$

$M(1,3) = ( x_{2},y_{2})$

/* By Distance Formula */

$LM = \sqrt{ (x_{2} - x_{1})^{2} + (</p><p>y_{2} - </p><p>y_{1})^{2} }$

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

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

$= \sqrt{ 9 + 4 }$

$= \sqrt{13}$

Therefore.,

$\red{ Distance \: between \: the\:points \:L\:and \: M }$

$\green { = \sqrt{13}}$

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