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All three medians of the triangle are drawn (each joins a corner to the middle of the opposite side). How many triangles are there in the figure?

Competition practiceCounting Figures
  • A6
  • B16
  • C12
  • D18

Step-by-Step Solution

6 smallest triangles meet at the centre. Two of them form a larger triangle in 3 ways, three of them in 6 ways (each median cuts off two halves), and the whole triangle is 1: .
Answer: B) 16

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