Show that the area of the triangle on the Argand diagram formed by the complex number `z ,i za n dz+i z` is `1/2|z|^2`

Explanation

To show that the area of the triangle formed by the complex numbers \( z \), \( iz \), and \( z + iz \) on the Argand diagram is \( \frac{1}{2} |z|^2 \), we can follow these steps:

### Step 1: Identify the vertices of the triangle
The vertices of the triangle are:
- \( A = z \)
- \( B = iz \)
- \( C = z + iz = z(1 + i) \)

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