distance between the pair of points (10, 8) and (14,5)

To find the distance between the two points \((10, 8)\) and \((14, 5)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (10, 8)\) and \((x_2, y_2) = (14, 5)\).

Substituting the values into the formula:

\[
\text{Distance} = \sqrt{(14 - 10)^2 + (5 - 8)^2}
\]

\[
\text{Distance} = \sqrt{(4)^2 + (-3)^2}
\]

\[
\text{Distance} = \sqrt{16 + 9}
\]

\[
\text{Distance} = \sqrt{25}
\]

\[
\text{Distance} = 5
\]

So, the distance between the points \((10, 8)\) and \((14, 5)\) is 5 units.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the midpoint between two points?
2. What is the slope of the line passing through these two points?
3. How can you determine if two points are equidistant from a third point?
4. How does the distance formula relate to the Pythagorean theorem?
5. What is the equation of the line passing through these two points?

**Tip:** When using the distance formula, ensure you correctly identify and subtract the corresponding coordinates to avoid sign errors.

Learn how to calculate the distance between two points (10, 8) and (14, 5) using the distance formula. This problem explores coordinate geometry concepts and applies the Pythagorean theorem to find the distance. Suitable for students in Grades 7-9.

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