`A B` is a diameter of a circle and `C` is any point on the circle. Show that the area of ` A B C` is maximum, when it is isosceles.

Explanation

To show that the area of triangle ABC is maximum when it is isosceles, we can follow these steps:

### Step 1: Understanding the Geometry
Let AB be the diameter of the circle, and C be any point on the circle. Since AB is the diameter, angle ACB is a right angle (by Thales' theorem).

### Step 2: Set Up the Problem
Let:
- The length of the diameter AB = 2A.
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