Find the side of a regular triangle circumscribed about a circle if the side of a regular 6-gon inscribed in this circle is 5 √3

AB = OB = BC = 5 √3

ОВ = 2 * 5 √3 = 10√3

AC ^ 2 = (10√3) ^ 2 + (5√3) ^ 2 = 300 + 75 = 375

AC = √375 = 19.36

Side of the triangle = 2 * 19.36 = 38.72



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