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MathNet 2020 — Math Olympiad Vault — Part 02 Question 122

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 122

Consider the L-shaped tromino below with 3 attached unit squares. It is cut into exactly two pieces of equal area by a line segment whose endpoints lie on the perimeter of the tromino. What is the longest possible length of the line segment?

Question illustration