Find the distance between (12, 3, 4) and (4, 5, 2): - Vidyadip

MCQ

Find the distance between $(12, 3, 4)$ and $(4, 5, 2):$

✓
$\sqrt{72}$
B
$\sqrt{62}$
C
$\sqrt{64}$
D
None of these

✓

Answer

Correct option: A.

$\sqrt{72}$

Consider the problem,
Let the given points
$A(12, 3, 4)$ and $B(4, 5, 2)$
So, distance between A and B by distance formula.
$\text{AB}=\sqrt{(4-12)^2+(5-3)^2+(2-4)^2}$
$=\sqrt{(-8)^2+2^2+(-2)^2}$
$=\sqrt{64+4+4}$
$=\sqrt{72}$
So, distance between the points $(12,3,4)$ and $(4,5,2)$ is $\sqrt{72}\text{ Sq. units.}$

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