Question

The length of the line segment whose end points are $(3,-1)$ and $(6,5)$ is

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

Answer 1

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

The length of the line segment with end points $(3,-1)$ and $(6,5)$ is:

$L=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{{(6-3)}^2+{(5-(-1\left)\right)}^2}=\sqrt{3^2+6^2}=\sqrt{9+36}=\sqrt{45}=3\sqrt{5}$