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📐 Mathematics  ·  Introduction to Three Dimensional Geometry  ·  JEE

The centroid of the triangle with vertices (1, 2, 3), (4, 5, 6) and (7, 8, 9) is:

Answer: (4, 5, 6).

  • A (12, 15, 18)
  • B (2, 3, 4)
  • C (4, 5, 6)
  • D (3, 4, 5)

Correct answer: C. (4, 5, 6)

Explanation: Average each coordinate: ((1+4+7)/3, (2+5+8)/3, (3+6+9)/3) = (4, 5, 6).

zxyOP(x, y, z)first octant:x>0, y>0, z>0

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula

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