If the area of an equilateral triangle is 108√3 cm², then find the length of radius of circumcircle of that triangle.

Question

Question

Answer 1

GIVEN:

Area of an equilateral triangle = 108√3 cm²

CONCEPT:

Mensuration

FORMULA USED:

Area of an equilateral triangle = \(\frac{{\sqrt 3 }}{4}{a^2}\)

CALCULATION:

Let side of triangle = a

Area of triangle:

\(\frac{{\sqrt 3 }}{4}{a^2} = 108\sqrt 3 \)

⇒ a = 12√3

Length of circumradius of an equilateral triangle = a/√3

= 12√3/√3

= 12 cm