Unit 7 · Right Triangles and Trigonometry
7.3Distance Formula and Right Triangles
Quick Answer
The distance formula d = √((x₂−x₁)² + (y₂−y₁)²) is derived directly from the Pythagorean Theorem applied to a right triangle in the coordinate plane.
Essential Question
How does the Pythagorean Theorem become the distance formula when applied to a right triangle in the coordinate plane?
Learning Goals
- 1Derive the distance formula from the Pythagorean Theorem.
- 2Apply the distance formula to find the distance between two points.
- 3Classify triangles in the coordinate plane using side lengths.
Key Vocabulary
Distance formula
d = √((x₂−x₁)² + (y₂−y₁)²); derived from the Pythagorean Theorem.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.