Question

If the area of an equilateral triangle is `36sqrt(3)  cm^2`, find its perimeter. 

Answer 1

Area of equilateral triangle =`36sqrt3 cm^2` 

Area of equilateral triangle=`(sqrt3/4xxa^2)` where a is the length of the side 

⇒`36sqrt3=sqrt3/4xxa^2` 

⇒`144=a^2` 

⇒ `a=12 cm` 

Perimeter of a triangle =`3a` 

=`3xx12` 

=`36cm`