Find the area of the triangle formed by the lines joining the vertex of the parabola `y^(2) = 16x` to the ends of the latus rectum.

Explanation

To find the area of the triangle formed by the lines joining the vertex of the parabola \( y^2 = 16x \) to the ends of the latus rectum, we can follow these steps:

### Step 1: Identify the parabola and its parameters
The given parabola is \( y^2 = 16x \). We can compare this with the standard form of a parabola \( y^2 = 4ax \).

From the equation \( y^2 = 16x \), we can see that \( 4a = 16 \). Thus, we find:
\[
a = 4
...