Question

Find the distance between the points $(2,3)$, $(4,1)$.

Answer 1

The distance between two points (2, 3)

& (4, 1) is given by

distance

$d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

here $(x_1,y_1)=(2,3)$ & $(x_2,y_2)=(4,1)$

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

$d=\sqrt{4+4}$

$d=\sqrt{8}$

$d=2\sqrt{2}$ distance