Question

The distance between the points (5, 5) and (3, 3) is ___.

• A. $2units$
• B. $2\sqrt{2}units$
• C. $\sqrt{2}units$
• D. $8\sqrt{2}units$

Answer 1

The correct option is B

$2\sqrt{2}units$

The distance between two points $(x_1,y_1)and(x_2,y_2)$ is given by $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}.$

Distance between points $(5,5)$ and $(3,3)$

$=\sqrt{(3-5{)}^2+(3-5{)}^2}=\sqrt{4+4}=2\sqrt{2}units$

Hence, the distance between the given points is $2\sqrt{2}$ units.