Question

if an area of an equeletrial triangle is 64√3 cm^2 then the side of this triangle.​

Answer 1

Answer:

Let the side of the equilateral triangle be a cm

area of the triangle

43

​​a2=643

​⇒a2=3

​4×64×3

​​⇒a2=256⇒a=16

perimeter of the triangle=3a=3×16=48 cm

Answer 2

Given

Area of equilateral triangle = 64√3 cm

To find

Side of triangle

Formula

Area =  √3/4×a²

Now Put The Value on formula

64√3 = √3/4 a²

a² =  64×4√3/√3

a² = 128

a=√(128)

a = 8√2 cm

Answer

Side 8√2 cm

More Information

Area equilateral triangle= √3/4×a²

Perimeter equilateral triangle  = 3a

area of triangle = 1/2×l×b