Question

Find the distance between the points (3, -2) and (6, 4)

• A. $\sqrt{85}$
• B. $\sqrt{79}$
• C. $5\sqrt{3}$
• D. $3\sqrt{5}$
• E. none of above

Answer 1

The correct option is D $3\sqrt{5}$

Let d be the required distance.
$\therefore d=\sqrt{(3-6{)}^2+(-2-4{)}^2}$
$\Rightarrow d=\sqrt{9+36}$
$\Rightarrow d=\sqrt{45}$
$\Rightarrow d=3\sqrt{5}$
Option D is correct.