Question

The distance between the points (5, 2) and (-3, 8)
is .

• A. 7 units
• B. 8 units
• C. 9 units
• D. 10 units

Answer 1

The correct option is D 10 units

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

Thus, the distance between
(5, 2) and (-3, 8) is $\sqrt{(-3-5{)}^2+(8-2{)}^2}$ units

$=\sqrt{(-8{)}^2+(6{)}^2}$
$=\sqrt{64+36}$
$=\sqrt{100}$
$=10units$