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In triangle PQR, the medians PM, QN and RL all pass through centroid G. Using the equal-area property of medians, the six small triangles formed have areas that are:

Class 9Areas — Figures on the Same BaseGeometry
  • Aall equal
  • Bin ratio 1:2
  • Cin ratio 1:3
  • Dall different

Step-by-Step Solution

The three medians of a triangle divide it into six triangles of equal area (each = 1/6 of the whole), a standard result from the same-base/equal-height reasoning.
Answer: A) all equal

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