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Count the triangles in this fan: four lines run from the top vertex of a triangle down to its base.

Competition practiceCounting Figures
  • A5
  • B10
  • C12
  • D15

Step-by-Step Solution

With the two sides there are 6 lines from the top vertex. Every pair of them, together with the base, forms a triangle: .
Answer: D) 15

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