Question

The distance between the points $(8,-2)$ and $(3,-6)$ is

• A. $\sqrt{41}$ units
• B. $\sqrt{43}$ units
• C. $\sqrt{45}$ units
• D. $\sqrt{47}$ units

Answer 1

The correct option is A $\sqrt{41}$ units

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using the formula$:-$

$\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$
Distance between the points $(8,-2)$ and $(3,-6)=\sqrt{{(3-8)}^2+{(-6+2)}^2}$
$=\sqrt{(-5{)}^2+(-4{)}^2}$
$=\sqrt{25+16}$
$=\sqrt{41}$
Hence, the distance between two given points is $=\sqrt{41}$ units