Question

Find the distance between $(4,5)$ and $(5,6)$.

• A. $\sqrt{2}$
• B. $\sqrt{3}$
• C. $\sqrt{6}$
• D. `$\sqrt{7}$

Answer 1

Answer: (A)

$\sqrt{2}$

Distance $=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

$=\sqrt{(4-5{)}^2+(5-6{)}^2}$
$=\sqrt{1+1}$

$=\sqrt{2}$