Question 87

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

Solution

Let the side of equilateral triangle = $$a$$ cm

Area = $$\frac{\sqrt{3}}{4} \times (a)^2 = 36\sqrt{3}$$

=> $$(a)^2=36 \times 4 = 144$$

=> $$a=\sqrt{144} = 12$$ cm

=> Ans - (C)

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