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A pentagon has three lines inside it: top corner to lower-left corner, left corner to right corner, and right corner to lower-left corner. Count the triangles.

Competition practiceCounting Figures
  • A6
  • B7
  • C8
  • D9

Step-by-Step Solution

Name the corners A (top), B (right), C (lower right), D (lower left), E (left), and let P be where AD crosses EB. Triangles: ABE, AEP, APB, EPD, PBD, AED, ABD, EBD and BCD, that is 9.
Answer: D) 9

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