Question

What is a function that models the area of an equilateral triangle in terms of the length `x` of ones of its sides?

Answer 1

`f(x) = x^2 sqrt 3 / 4`

Explanation:

`Delta ABC` is equilateral. `|CH| = h = x sin 30º`

`A_Delta = (hx)/2 = 1/2 * sin frac{pi}{6} * x^2 = f(x)`