Question

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

Answer 1

The given points are $P(2,3)$ and $Q(5,7)$

Distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is $\sqrt{(x_1-x_2{)}^2+(y_1-y_2{)}^2}$

$\therefore$ Distance between $P$ and $Q$ is given by

$PQ=\sqrt{{(5-2)}^2+{(7-3)}^2}PQ=\sqrt{3^2+4^2}PQ=\sqrt{25}PQ=5$