What is the formula of finding the apothem in a equilateral triangle?

The apothem ( a ) of an equilateral triangle can be calculated using the formula ( a = \frac{s \sqrt{3}}{6} ), where ( s ) is the length of a side of the triangle. Alternatively, since an equilateral triangle can be divided into two 30-60-90 right triangles, the apothem can also be derived as ( a = \frac{s \sqrt{3}}{2} \div 3 ). This gives you the perpendicular distance from the center to a side of the triangle.