Question

a square and an equilateral triangle have equal perimeter if the area of equilateral triangle is 16√3 cm² then the side of square​

Answer 1

p of sqr = p of ∆ => 4 *side = 3* side" ----(1)

now ATP,

Area of ∆ = √3/4 * (side")² => 16√3 = (side")² . √3 /4 => (side")²= 64 => side" = √64 => side" = ±8

side" = 8 cm ; side" = -8 cm ---N.A [side or length cannot b represented in negative]

now by (1)

4 *side = 3* side" => side = 3*8/4 => side = 6

•°• side of sqr is 6cm