Question

What is the relationship between the side length and the apothem of an equilateral triangle?

Answer 1

let the side be 2x
let the height , (your apothem) be h
then
x^2 + h^2 = (2x)^2
h^2 = 3x^2
h = √3 x

ratio of side : apothem
= 2x : √3 x
= 2 : √3