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Distance & Midpoint

SHS

Geometry

Concept

Compute the distance between two coordinate points.

Walkthrough

Find the distance between (0, 0) and (3, 4).

  1. 1.Recall the distance formula: d = √((x₂ − x₁)² + (y₂ − y₁)²).
  2. 2.Identify the given points: (x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 4).
  3. 3.Substitute into the formula: d = √((3 − 0)² + (4 − 0)²) = √(3² + 4²).
  4. 4.Compute: d = √(9 + 16) = √25 = 5.
  5. 5.So the distance is 5.

Answer

5

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