To find the distance between the points $(1, 2)$ and $(6, 0)$, we use the distance formula:

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

Given the points:

• $x_1 = 1$, $y_1 = 2$
• $x_2 = 6$, $y_2 = 0$

Substitute these values into the formula:

$\text{Distance} = \sqrt{(6 - 1)^2 + (0 - 2)^2}$

Simplify inside the square root:

$\text{Distance} = \sqrt{(5)^2 + (-2)^2} = \sqrt{25 + 4} = \sqrt{29}$

So, the distance between the points $(1, 2)$ and $(6, 0)$ is $\sqrt{29}$, which is approximately 5.39 units.

Would you like more details or have any questions?

---

Here are some related questions:

1. How would you calculate the distance between two points in a coordinate plane using the Pythagorean theorem?
2. What is the significance of the distance formula in geometry?
3. How do you find the midpoint of a line segment connecting two points?
4. What is the distance between the origin and a point $(x, y)$ in the coordinate plane?
5. How can the distance formula be applied in real-world scenarios?

Tip: Familiarize yourself with perfect squares to simplify square roots more quickly!