Question 62

The area of a table top in the shape of an equilateral triangle is $$9\sqrt{3}$$ cm$$^2$$. What is the length (in cm) of each side of the table?

Solution

Let the length of each side of the table = a

The area of a table top in the shape of an equilateral triangle is $$9\sqrt{3}$$ cm$$^2$$.

$$\frac{\sqrt{3}}{4}$$a$$^2$$ = $$9\sqrt{3}$$

a$$^2$$ = 36

a = 6 cm

Length of each side of the table = 6 cm

Hence, the correct answer is Option A

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