olymmath

HMMT 2001 G7

  • Geometry
  • Answer

Equilateral triangle ABCA B C with side length 1 is drawn. A square is drawn such that its vertex at AA is opposite to its vertex at the midpoint of BCB C. Find the area enclosed within the intersection of the insides of the triangle and square.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3}{4(\sqrt{3}+1)}

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