Question

What is the distance between the points $G(10,-8)$ and $H(-3,-2)?$

• A. $\sqrt{205}$
• B. $\sqrt{315}$
• C. $\sqrt{305}$
• D. $\sqrt{215}$

Answer 1

The correct option is A $\sqrt{205}$

Given two points are $G(10,-8)$ and $H(-3,-2)$

To find out: The distance between $G$ and $H$.

We know that, the distance between two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

$\therefore$ The distance between $G$ and $H$ $=\sqrt{(-3-10{)}^2+(-2+8{)}^2}$

$\Rightarrow \sqrt{169+36}=\sqrt{205}$

Hence, the distance between $G$ and $H$ is $\sqrt{205}$.