03 - Sum of Areas of Equilateral Triangles Inscribed in Circles Jhun Vert Fri, 04/17/2020 - 04:10 pm

An equilateral triangle is inscribed within a circle whose diameter is 12 cm. In this triangle a circle is inscribed; and in this circle, another equilateral triangle is inscribed; and so on indefinitely. Find the sum of the areas of all the triangles.