if the perimeter of an equilateral triangle is a number half size of its area, how long is each side?
The area is A=(√3/4)a^2
The perimeter is p=3a
3a = 1/2(√3/4)a^2 -->equation (perimeter is 1/2 size of the area)
3a = (√3/8)a^2
3/a = √3/8
a = 3/(√3/8) = 24/√3 * √3/√3 = 24√3/3 = 8√3 -->rationalized the denominator by multiplying the equivalent of 1.
If you check this answer with the equation, it should work.