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AMO 2024 – Secondary 4 (Grade 10) Question 3

AMO · AMO 2024 – Secondary 4 (Grade 10)

Question 3

Choose three distinct numbers from $\{1,3,4,5,10\}$ as the sides of triangle A with the least possible perimeter. Choose three distinct numbers from $\{3,6,8,10,22\}$ as the sides of triangle B with the greatest possible perimeter. Find the sum of their areas.

Question illustration
  1. $6\sqrt5+10\sqrt3$
  2. 30
  3. 32
  4. $6\sqrt{11}+10\sqrt3$