Infinite Geometric Series Using Area of Triangles
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Given is an equilateral triangle with Area=1. The vertices of the blue triangle are the midpoints of the sides. [list] [*] Drag the slider [b]n [/b]to construct equilateral triangles inscribed in the white triangle directly above each blue triangle. [*] Click the "+" button to ZoomIn at the vertex of the triangle. [*] Click the "-" to return to the original triangle. [/list] What will be the sum of the area of the blue triangles if we continue to inscribe them to infinity? |
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Geometric solution by Rick Mabry |