olymmath

HMMT 1999 K7

  • Calculus
  • Answer

If a right triangle is drawn in a semicircle of radius 1/21 / 2 with one leg (not the hypotenuse) along the diameter, what is the triangle's maximum possible area?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3 \sqrt{3}}{32}

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