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A B is a diameter of a circle and C i...

`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.

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To show that the area of triangle ABC is maximum when it is isosceles, we can follow these steps: ### Step 1: Draw the Diagram - Draw a circle with diameter AB. - Let A and B be the endpoints of the diameter, and C be any point on the circumference of the circle. ### Step 2: Identify the Properties of Triangle ABC - Since AB is the diameter, angle C (∠ACB) is a right angle (90 degrees) by the inscribed angle theorem. ...
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