Distance Formula Visualization

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About This Diagram

This three-panel diagram shows how the Distance Formula derives from the Pythagorean theorem. Follow the steps to understand the geometric connection.

The Three Steps

Panel	Step	Description
1	Two Points	Identify points A(2, 3) and B(7, 9)
2	Right Triangle	Form triangle with horizontal and vertical legs
3	Pythagorean Theorem	Apply a² + b² = c² to find distance

The Connection

The distance between two points is the hypotenuse of a right triangle: - Horizontal leg: |x₂ - x₁| = |7 - 2| = 5 - Vertical leg: |y₂ - y₁| = |9 - 3| = 6 - Distance: d = √(5² + 6²) = √61 ≈ 7.81

Learning Objectives

• Understand how the Distance Formula connects to the Pythagorean theorem
• Apply the formula to find distances between points

Bloom's Taxonomy Level

Understanding and Applying - Formula derivation and application.

Iframe Embed Code

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