Question

The distance between the points $A(3,4)$ and $B(5,8)$

• A. $2\sqrt{5}$
• B. $2\sqrt{3}$
• C. $2\sqrt{7}$
• D. $\sqrt{5}$

Answer 1

The correct option is A $2\sqrt{5}$

To find the value of $x$, we’ll utilize 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:
$d=\left[\right(x_2–x_1{)}^2+(y_2–y_1{)}^2{]}^{(}½)$

$d=\left[\right(5-3{)}^2+(8-4{)}^2{]}^{(}½)$

$d=\left[\right(2{)}^2+\left(4{)}^2{]}^{(}½\right)$

$d=[4+16{]}^{(}½)$

$d=\left[20{]}^{(}½\right)$

$d=2\sqrt{5}$