Question

Find the distance between $(3,-5)$ and $(-4,7)$

• A. $\sqrt{144}$
• B. $\sqrt{193}$
• C. $\sqrt{169}$
• D. $\sqrt{133}$

Answer 1

The correct option is B $\sqrt{193}$

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\sqrt{{(x_2-x_1)}^2+{{(y}_2-y_1)}^2}$
So, distance between $(3,-5);(-4,7)$ is $\sqrt{{(-4-3)}^2+{(7+5)}^2}=\sqrt{49+144}=\sqrt{193}$