olymmath

HMMT 2006 G6

  • Geometry
  • Answer

A circle of radius tt is tangent to the hypotenuse, the incircle, and one leg of an isosceles right triangle with inradius r=1+sin⁡π8r=1+\sin \frac{\pi}{8}. Find rtr t.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2+\sqrt{2}}{4}

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