How many different ways can we split an equilateral triangle into 2/3 and 1/3 area?
I found one approach using medians. Any others?
I'm not understanding your question. There are infinite ways of taking two disjoint subsets of an equilateral triangle such that the measure of area of the sum is equal to the whole and the measure of one is twice the measure of the other.
I guess what i mean is using some properties of the triangle. So my example was using medians of a triangle which will divide the triangle into 6 equal areas so shading 2 will shade 1/3 of the triangle. What other methods can i use to shade a 1/3 of a triangle ?