Math, asked by Port, 1 year ago

If the area of an equilateral triangle is 81 root 3 cm2 , find its perimeter

Answers

Answered by srikrishnacharyulu
877
given that 
we know that area is √3/4 a² 
area of the equilateral triangle = 81√3
√3/4 a² = 81√3
1/4 a² = 81
a² = 81(4)
a² = 324
a = 18cm

then the perimeter of the equilateral triangle = 3×a
                                                                           = 3×18
                                                                           =54cm.

srikrishnacharyulu: make the brainlist answer
Answered by Anonymous
230
Area of equilateral triangle  = root 3 a^2
                      81 root 3        = root 3/4 a^2
                      1/4 a^2          = 81 root 3 / root 3
                             1/4 *a^2  = 81
                                   a^2    = 81*4
                                   a ^2   = 324
                                        a   = root 324
                                        a   = 18cm
Perimeter of triangle = 3*a                                 
                                 = 3*18
                                 = 54 cm

Therefore, the perimeter of the equilateral triangle is 54 cm.
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