An equilateral triangle has three 60 degree angles. The altitude divides it into two 30 60 90 triangles. The altitude is the "middle side" of such a triangle. When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse. The hypotenuse is the side of the equilateral triangle. So, 6 * 2 / (sq root of 3) =
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6.9282032303
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