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OMCPLP 2015 Problem 5

  • Day 2

Two circles of radius RR and rr , with R>rR>r , are tangent to each other externally. The sides adjacent to the base of an isosceles triangle are common tangents to these circles. The base of the triangle is tangent to the circle of the greater radius. Determine the length of the base of the triangle.

Dataset text AI-MO AoPS. Quoted with source.

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