Question

Find the distances between the following pair of points. $(2,3)$ and $(5,7)$

Answer 1

Distance $d$ between two points $P(a,b)$ and $Q(c,d)$ is given by

$d=\sqrt{(a-c{)}^2+(b-d{)}^2}$

Now in the given question distance between following pair of points
$(2,3)$ & $(5,7)$ is
$d=\sqrt{(2-5{)}^2+(3-7{)}^2}$
$\Rightarrow d=\sqrt{(3{)}^2+(4{)}^2}$
$\Rightarrow d=\sqrt{25}$
$\Rightarrow d=5$