The area of an equilateral triangle is $10.24\sqrt{3}\, m^2$. Its perimeter (in m) is :
Answer & explanation
Correct answer: option 4
We know that,
Area of equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2
Perimeter of equilateral triangle = 3 × side
The area of an equilateral triangle is 10.24\(\sqrt {3}\) m2
ATQ,
\(\frac{\sqrt {3}}{4}\) × (side)2 = 10.24\(\sqrt {3}\)
= (side)2 = 10.24 × 4
= side = 3.2 × 2 = 6.4
Perimeter of equilateral triangle = 3 × side = 3× 6.4 = 19.2 cm