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Three friends mark their seats in a hall on a coordinate grid: Aarav at A(1,1), Bhavna at B(7,1) and Chetan at C(4,6). The triangle ABC encloses an empty zone.
What is the area of triangle ABC (in square units)?

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • A14
  • B30
  • C15
  • D16

Step-by-Step Solution

AB is horizontal: base = 7 - 1 = 6. Height = 6 - 1 = 5. Area = sq units.
Answer: C) 15

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