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Question
If the area of an equilateral triangle is `36sqrt3 cm^2` find its perimeter.
Solution
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`
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