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Hi all,

I have this math problem where an equilateral triangle has each of its sides divided into ratio 2:1, and a smaller equilateral drawn within it from the intersecting lines. There is also a similar problem, but relating to a square. My objective is to figure out a relationship between the ratio of the areas of the two triangles to "n" (the number of divisions of each side)

In the document attached, the example given is when divided into 1:2 parts. The ratio of the areas for the triangle there is 7.0.

Has anyone heard of this problem before and knows how to do it?

I would greatly appreciate any help given.

Thanks,

Isaac.

I have this math problem where an equilateral triangle has each of its sides divided into ratio 2:1, and a smaller equilateral drawn within it from the intersecting lines. There is also a similar problem, but relating to a square. My objective is to figure out a relationship between the ratio of the areas of the two triangles to "n" (the number of divisions of each side)

In the document attached, the example given is when divided into 1:2 parts. The ratio of the areas for the triangle there is 7.0.

Has anyone heard of this problem before and knows how to do it?

I would greatly appreciate any help given.

Thanks,

Isaac.