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AMC10 2027 - Self-practice Set 4 Question 8

AMC10 · AMC10 2027 - Self-practice Set 4

Question 8

Six regular hexagons surround a regular hexagon of side length $1$ as shown. What is the area of $\triangle{ABC}?$

Question illustration
  1. $ 2\sqrt{3} $
  2. $ 3\sqrt{3} $
  3. $ 1+3\sqrt{2} $
  4. $ 2+2\sqrt{3} $
  5. $ 3+2\sqrt{3} $