Question

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

Answer 1

Let $A(x_1,y_1)=(2,1)$ and $B(x_2,y_2)=(3,2)$

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

$\therefore AB=\sqrt{{(3-2)}^2+{(2-1)}^2}$

$=\sqrt{1+1}=\sqrt{2}$ units