An equilateral triangle has a side length of cm,
where another triangle is drawn inside of it by connecting the midpoints of its
sides. If more interior triangles are to be repeatedly drawn the same way as shown
in the figure, determine the sum of perimeters of the first drawn 6 triangles to the nearest integer.
Find the perimeter of the larger triangle.
Let , and .
Find the sum of the series.
Therefore, the sum of perimeters of the first drawn 6 triangles to the nearest centimetre is .