Question

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

Answer 1

by using distance formula

hope it helps you

thanks karo

Answer 2

$Given \: two \: points \: P(1,4) \:and \:Q(4,0)$

$Compare \: these \: points \: with \: (x_{1},y_{1}),$

$and \: (x_{2},y_{2}),we \:get$

$x_{1} = 1 , y_{1} = 4 ,x_{2} = 4 \:and \:y_{2}= 0$

$\underline {\pink{ Using \: Distance \: Formula: }}$

$\boxed {\blue{ PQ = \sqrt{ (x_{2} - x_{1})^{2} + (y_{2}-y_{1})^{2}}} }$

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

$= \sqrt{ 3^{2} + 4^{2} }$

$= \sqrt{ 9 + 16 }$

$= \sqrt{ 25}$

$= \sqrt{5\times 5 }$

$= 5$

Therefore.,

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

$\red{ and\:Q } \green { = 5 }$

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