Art of Problem Solving: Triangles in Triangles

A circle is inscribed in an equilateral triangle and an equilateral triangle is inscribed in that circle. What is the ratio of the areas of the two triangles?

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Original post: Triangles in Triangles

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AoPS, Art of Problem Solving, Maths, UKMT, Maths Problem Solving, School, Education, Word ProblemsSarah NorrisLando Educationtriangles, Art of Problem Solving, AoPS, word problems, UKMT, maths, logic, strategy, ratio, trainglesComment