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Its height (h) is side (s) times sin 60 orsqrt(3)/2 times side = .866s

h = .866s

s = h/.866 = 2/sqrt(3) s = 1.154 h

perimeter = s + s + s = 3s = 3 x 2/sqrt(3) = 3.46s

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Q: How do you express the perimeter of an equilateral triangle as a function of its height?
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