Distance & Midpoint
SHSGeometry
Concept
Compute the distance between two coordinate points.
Walkthrough
Find the distance between (0, 0) and (3, 4).
- 1.Recall the distance formula: d = √((x₂ − x₁)² + (y₂ − y₁)²).
- 2.Identify the given points: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 4).
- 3.Substitute into the formula: d = √((3 − 0)² + (4 − 0)²) = √(3² + 4²).
- 4.Compute: d = √(9 + 16) = √25 = 5.
- 5.So the distance is 5.
Answer
5
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