Vertices `Ba n dC` of ` A B C` lie along the line `(x+2)/2=(y-1)/1=(z-0)/4` . Find the area of the triangle given that `A` has coordinates `(1,-1,2)` and line segment `B C` has length 5.

Explanation

To solve the problem step by step, we will follow the outlined approach in the video transcript.

### Step 1: Identify the line equation and point A
The vertices B and C lie along the line given by the equation:
\[ \frac{x + 2}{2} = \frac{y - 1}{1} = \frac{z - 0}{4} \]
We also have the coordinates of point A as:
...