Question

. The distance between the point P(1, 4) and Q(4, 0) is​

Answer 1

So you have your answer on the screen MARK AS BRAINLIEST

Answer 2

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

$Q (4,0) = (x_{2}, y_{2})$

$\red{ Distance \: PQ} = \sqrt{ (x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2} }$

$= \sqrt{ (4-1)^{2} + ( 0-4)^{2} }$

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

$= \sqrt{ 9 + 9 }$

$= \sqrt{ 18}$

$= \sqrt{ 3^{2} \times 2}$

$= 3 \sqrt{2}$

Therefore.,

$\red{ Distance \: between \: the \: points \:P\:and \: Q }$

$\green { = 3 \sqrt{2}}$

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