Question

If the extremities of the diagonal of a square are (1, -2, 3) and (2, -3, 5), then the length of the side is

• A. $\sqrt{6}$
• B. $\sqrt{3}$
• C. $\sqrt{5}$
• D. $\sqrt{7}$

Answer 1

The correct option is B

$\sqrt{3}$

Length of the diagonal

$\sqrt{(2-1{)}^2+(-3+2{)}^2+(5-3{)}^2}$

$\sqrt{1+1+4}=\sqrt{6}$

$\therefore$ Length of the side

= $\frac{\text{Length of diagonal}}{\sqrt{2}}=\frac{\sqrt{6}}{\sqrt{2}}=\sqrt{3}$