Lesson eLearning

Find the distance between the points (1,2) and (7,6).

medium 3 marks Class 6 · Mathematics · Basic Geometrical Ideas
Answer
2\sqrt{13}

The correct answer is 2\sqrt{13} — So the distance is 2\sqrt{13}.

Step-by-step solution

  1. Δx = 7 - 1 = 6.
  2. Δy = 6 - 2 = 4.
  3. Distance = √(Δx² + Δy²).
  4. = √(6² + 4²) = √(36 + 16) = √52.
  5. √52 = 2\sqrt{13}.
  6. So the distance is 2\sqrt{13}.
Common mistake: Squaring wrong values

Concept tested: Distance formula

Published · How this solution was prepared and checked

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