An equilateral triangle is inscribed in the parabola `y^2=4ax` whose vertex is at of the parabola. Find the length of its side.

Explanation

To find the length of the side of the equilateral triangle inscribed in the parabola \(y^2 = 4ax\) with one vertex at the vertex of the parabola, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Vertex of the Parabola**:
The vertex of the parabola \(y^2 = 4ax\) is at the point \((0, 0)\).

**Hint**: Recall that the vertex of the parabola in the form \(y^2 = 4ax\) is always at the origin.
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