The problem asks us to find the distance between the points $(7, 14)$ and $(12, 2)$.

1. Problem Description

The problem asks us to find the distance between the points $(7, 14)$ and $(12, 2)$.

2. Solution Steps

We can use the distance formula to find the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a coordinate plane.

The distance formula is:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

In this case, $(x_1, y_1) = (7, 14)$ and $(x_2, y_2) = (12, 2)$.

Plugging in the values, we get:

$d = \sqrt{(12 - 7)^2 + (2 - 14)^2}$

$d = \sqrt{(5)^2 + (-12)^2}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

$d = 13$

3. Final Answer

The distance between the points (7, 14) and (12, 2) is 13 units.