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IMAS 2025–2026 Upper Primary — First Round Question 3

IMAS · IMAS 2025–2026 Upper Primary — First Round

Question 3

As shown in the diagram below, an equilateral triangle has no diagonals, a square has 2 distinct diagonals and a regular pentagon has 5 distinct diagonals.
Question illustration
A regular polygon has 54 distinct diagonals. How many sides does it have?
  1. 12
  2. 11
  3. 10
  4. 9
  5. 8