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In the figure, a triangle is split by one line from its top corner to the base and by two lines parallel to the base. How many triangles can be counted?

Competition practiceCounting Figures
  • A6
  • B9
  • C8
  • D12

Step-by-Step Solution

3 lines leave the top corner (2 sides + 1 inner), so each horizontal line (the base and the 2 parallels) closes triangles: .
Answer: B) 9

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