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HMMT 1998 K7

  • Calculus
  • Answer

A parabola is inscribed in equilateral triangle ABCA B C of side length 1 in the sense that ACA C and BCB C are tangent to the parabola at AA and BB, respectively. Find the area between ABA B and the parabola.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{\sqrt{3}}{6}

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