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If equilateral triangle has an area of 9 root 3 square inches How many inches is the perimeter?
Wiki User
∙ 14y ago
Area of equilateral triangle = (b x h)/2 = 9√ 3 sq in
For an equilateral triangle, b2 = h2 + (b/2)2 = h2 + b2/4
h2 = 3b2/4 : h = (b/2)√ 3
Substituting for h in the Area formula
[b x (b/2)√ 3]/2 = 9√ 3 : b2/4 = 9 : b2 = 36 : b = 6
Therefore the perimeter measures 3 x 6 = 18"
Wiki User
∙ 14y ago
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