# What is the distance between #(9, 2, 0) # and #(4, 3, 1) #?

##### 2 Answers

#### Explanation:

The 2D Pythagorean Theorem states that

Now consider a 3D cuboid.

Applying the 2D Pythagorean Theorem twice gives

#d^2 = a^2 + z^2 = (x^2 + y^2) + z^2 = x^2 + y^2 + z^2#

Substituting the values

#d^2 = 5^2 + 1^2 + 1^2 = 27#

#d = sqrt27 = 3sqrt3#

#### Explanation:

The distance between any two points given the rectangular coordinates of the points is:

In this case we have

distance