Question

The points given are $(1,1)$, $(-2,7)$ and $(3,3)$.Find distance between the points.

• A. $\sqrt{4}5,$$7,$$\sqrt{8}$
• B. $\sqrt{10},7,8$
• C. $\sqrt{3},1,2$
• D. None of the above

Answer 1

The correct option is A $\sqrt{4}5,$$7,$$\sqrt{8}$

Let the points be

$A(1,1)$, $B(-2,7)$, $C(3,3)$

Distance of $AB=\sqrt{{(2-1)}^2+{(7-1)}^2}$

$=\sqrt{9+36}=\sqrt{45}$

Distance of $BC=\sqrt{{(3+2)}^2+{(3-7)}^2}$

$=\sqrt{25+16}=\sqrt{49}=7$

Distance of $AC=\sqrt{{(3-1)}^2+{(3-1)}^2}=\sqrt{8}$