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The three medians of a triangle are drawn, and the midpoints of its sides are also joined to form a smaller triangle inside. Find the total number of triangles in the figure.

Competition practiceCounting Figures
  • A32
  • B40
  • C47
  • D44

Step-by-Step Solution

Group the triangles by size, taking the smallest piece as 1 unit: 6 of size 1, 3 of size 2, 12 of size 3, 6 of size 4, 10 of size 6, 3 of size 8, 6 of size 12 and the whole (size 24). Total .
Answer: C) 47

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