Question

Find the distance between the points (-3, -3) and (4, 5).

• A. $\sqrt{111}$
• B. $\sqrt{131}$
• C. $\sqrt{112}$
• D. $\sqrt{113}$

Answer 1

The correct option is D

$\sqrt{113}$

Given points are (-3, -3) and (4, 5)
$\because$ The distance between two points $(x_1,y_1)\text{and}(x_2,y_2)$ is $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$
So, the distance between the points is:
= $\sqrt{{(4-(-3\left)\right)}^2+{(5-(-3\left)\right)}^2}$
= $\sqrt{7^2+8^2}$
= $\sqrt{113}$