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The midpoints of the sides of a triangle are joined to make an upside-down triangle inside it. The midpoints of that inner triangle are joined in the same way. How many triangles are there in the figure?

Competition practiceCounting Figures
  • A5
  • B8
  • C13
  • D9

Step-by-Step Solution

The outer triangle, its 3 corner triangles and the upside-down middle triangle give 5. The middle triangle is itself cut into 4 smaller ones: .
Answer: D) 9

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