The area of a table top in the shape of an equilateral triangle is $9\sqrt{3}$ cm2. What is the length (in cm) of each side of the table?
Answer & explanation
Correct answer: option 1
We know that,
Area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2
The area of a table top in the shape of an equilateral triangle = 9\(\sqrt {3}\) cm2
According to the question
= \(\frac{\sqrt {3}}{4}\) × (side)2= 9√3
= side 2 = (4 × 9)
= side 2 = 36 = 6 cm