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Thread: equilateral triangle

  1. #1
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    equilateral triangle

    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?
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  2. #2
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    Re: equilateral triangle

    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.
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  3. #3
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    Re: equilateral triangle

    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 ?
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  4. #4
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    Re: equilateral triangle

    Intuitively speaking you can break-up an equilateral triangle into equilateral triangles. The MHF stamp is a giveaway.
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