Question

find the perimeter of an equilateral triangle given its area is 100√3m^2​

Answer 1

Given : area of an equilateral triangle is 100√3m^2​  

To Find : perimeter

Solution:

an equilateral triangle has all its sides equal

Let say side = a m

Area of Equilateral triangle =  √3 a² /4  m²

Perimeter of Equilateral triangle = 3a  m

area of an equilateral triangle is 100√3m^2​  

=> √3 a² /4 =  100√3

=> a² /4 =  100

=> a²  =  400

=> a² = 20²

=> a = 20

Perimeter of Equilateral triangle = 3a

= 3(20)

= 60 m

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