Question

An equilateral triangle has perimeter 30cm. Find the area of the triangle.

Answer 1

perimeter of equilateral triangle = 30cm
3 * side = 30 cm
side = 10 cm
so,
area = (√3)/4 * side² =  (√3)/4 * 10² = 43.3 cm²(approx.)

Answer 2

perimeter of an equilateral triangle = 3*side


here, perimeter of equilateral triangle = 3*side

30 = 3*side

30/3  = side


10 = side


as the area of equilateral triangle = side^2 *(root3/4)


area of equilateral triangle  = 10^2 *(root3/4)


area of equilateral triangle = 100*(root 3/4) 


area of equilateral triangle = 25root3 cm^2 


i hope this will help 




- by ABHAY