Question

If the area of an equilateral triangle is 16√32

, then find the perimeter of the triangle.????​

Answer 1

Step-by-step explanation:

given,

area of equilateral triangle = 16√32

since area of a triangle =√3/4a^2

therefore,

√3/4a^2=16√32

a^2=16*4*√32/√3

a^2=64*√(32/3)

a^2=√(4096*32/3)

square and root will be cancelled

a=4096*32/3

a=43690.6666....

a=43690.7(approx)

perimeter of this equilateral triangle=a+b+c

in equilateral triangle all the sides are equal

so perimeter =3a

therefore perimeter=3*43690.7=131072

therefore the perimeter of equilateral triangle is 131072.

hope this answer helps u........