The ---Select--- is derived from the Pythagorean Theorem.

The term you're looking for is **"Distance Formula."** 

The Distance Formula is derived from the Pythagorean Theorem and is used to calculate the distance between two points in a coordinate plane. If you have two points \((x_1, y_1)\) and \((x_2, y_2)\), the distance \(d\) between these points can be found using the formula:

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

This formula is essentially the Pythagorean Theorem applied to the horizontal and vertical distances between the two points.

Would you like more details or have any questions?

Here are 5 related questions:
1. How is the Distance Formula applied in 3-dimensional space?
2. Can the Distance Formula be used to find the distance between points on a curve?
3. What is the relationship between the Distance Formula and vector magnitude?
4. How does the Distance Formula relate to the midpoint formula?
5. Can you derive the Distance Formula from the Pythagorean Theorem step by step?

**Tip:** The Distance Formula can be adapted to higher dimensions by including additional terms for each dimension.

Explore how the Distance Formula is derived from the Pythagorean Theorem and its application in calculating distances between points on a coordinate plane. Learn the step-by-step process and related concepts in geometry and algebra. Suitable for students in Grades 9-12.

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