Question

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

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

Answer 1

The correct option is B $2\sqrt{2}\text{units}$

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

Replacing $(5,5)for(x_1,y_1)\text{and}(3,3)\text{for}(x_2,y_2)$
we get,
$\sqrt{(3-5{)}^2+(3-5{)}^2}=\sqrt{4+4}=2\sqrt{2}units$

Hence, the distance between the points (5, 5) and (3, 3) is $2\sqrt{2}$ units.