Question

Find the distance between the points $(2,3)$ and $(0,6)$.

• A. $\sqrt{3}$
• B. $\sqrt{13}$
• C. $\sqrt{14}$
• D. $\sqrt{5}$

Answer 1

Answer: (B)

$\sqrt{13}$

We’ll use the distance formula which can be used to calculate the distance d between any two points in a coordinate plane.

This formula is given as follows:
$d=\sqrt{(x_2–x_1{)}^2+(y_2–y_1{)}^2}$

$d=\sqrt{(0-2{)}^2+(6-3{)}^2}$

$d=\sqrt{(-2{)}^2+(3{)}^2}$

$d=\sqrt{4+9}$

$d=\sqrt{13}$.