The area of an equilateral triangle is 9\sqrt3 sq cm, find its perimeter?

SSC CHSL 7 Jan 2017 Shift 3 Paper

Question : 64 of 100

Marks: +1, -0

The area of an equilateral triangle is

9√3

sq cm, find its perimeter?

Solution:

Let the side of equilateral triangle =

α

cm
Area of equilateral triangle =

√3/4a^2=9√3

⇒

a^2=9×4=36

⇒

a=√36=6

cm
∴ Perimeter of equilaterl triangie =3

α

= 3×6=18 cm

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