Today my mathematics teacher taught me that, "The area of an equilateral triangle is (√3/4)a² where a is the side length." First I thought that area of an equilateral triangle can never be rational. Then I tried $a=\sqrt[4]{3}$ then the area was $\frac34 $. Now, I think that $a=\sqrt[4]{3}$ is the only side length for which the area is rational. Are there any other values possible?
2026-04-09 16:59:14.1775753954
What are the possible values of side length of an equilateral triangle such that its area is rational?
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