olymmath

HMMT 2020 G3

  • Geometry
  • Answer

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?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{5}{2}

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