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Riya claims the points (1,4), (3,8) and (5,12) form a triangular field.
What is the area of this 'field', and what does the result tell you?

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • A0 sq units; the points are collinear
  • B8 sq units; a valid triangle
  • C4 sq units; a thin triangle
  • D12 sq units; a valid triangle

Step-by-Step Solution

Area = |-4 + 24 - 20| = 0. The three points lie on one line, so no triangle exists.
Answer: A) 0 sq units; the points are collinear

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