# What is the distance between the points (7 3 4) and (5 2 9)?

We can make use of the section formula for calculating the distance between two points.

## Answer: The distance between the two given points is calculated to be √30

The 3D visualization of the figure helps us in understanding the problem in a better way since it makes the calculation much easier due to the visual analysis of the problem.

**Explanation:**

Let us label the two given points as A (x1 , y1, z1) and B ( x2, y2, z2 )

( Representation of distances between two points in 3D, inside a cuboid )

Applying the distance formula for AB, we get

AB=√(x1 − x2)^{2} + (y1 − y2)^{2} + (z1 − z2)

Puting x1 = 7, y1 = 3, z1 = 4, & x2 = 5, y2 = 2, z2 = 9

==> AB = √(7 - 5)^{2} + (3 - 2)^{2} + (4 - 9)^{2}

==> AB = √ 4 + 1 + 25

==> AB = √30