Distance of the point (3, 4, 5)

Question:

Distance of the point (3, 4, 5) from the origin (0, 0, 0) is

(A) √50

(B) 3

(C) 4

(D) 5

Solution:

(A) √50

Explanation:

Let $P$ be the point whose coordinate is $(3,4,5)$ and $Q$ represents the origin. From distance formula we can write as

$P Q=\sqrt{(3-0)^{2}+(4-0)^{2}+(5-0)^{2}}$

$=\sqrt{9+16+25}$

 

$=\sqrt{50}$

$\therefore$ Distance of the point $(3,4,5)$ from the origin $(0,0,0)$ is $\sqrt{50}$ units. Hence, option (A) is the only correct choice.

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