An equilateral triangle has the same perimeter as a square whose side is 12. What is the length of each side of the triangle?

Question

An equilateral triangle has the same perimeter as a square whose side is 12.Whats the length of each side of the triangle?

Answer 1

area -f square with side = 12 is 12^2 = 144

an equilateral triangle with area = 144 has sides of what length?? about 18.236

area of a triangle = hb/2 = .5s^2sin60 =144

s^2 = 288/sin60 = 288/sqr3/2 = 4(144)/sqr3

s = about 18.236