Question

The area of a equilateral triangle whose perimeter is 36 root 3cm is

Answer 1

Answer:

108√3 cm²

Step-by-step explanation:

Let side of triangle =a

Then,

Perimeter=3a

       36√3=3a

        a=12√3 cm

Area of equilateral trinagle = √3a²/4

                                             =√3(12√3)²/4

                                             =√3×432/4

                                             = 108√3 cm²

Answer 2

Step-by-step explanation:

perimeter of an equilateral triangle = 36√3cm

3a = 36√3

a = 36√3/3

a = 12√3 cm

Area of an equilateral triangle = √3/4 × a²

= √3/4 × (12√3)²

= 108√3 cm²