JAMIA 2021 — Mathematics PYQ

Condition for Maximum Area

For a triangle inscribed in a circle of radius $R$, the area $A$ is given by:

The product $\sin A\sin B\sin C$ is maximum when:

Since $A+B+C=180^{\circ }$:

Maximum Area Value

Final Answer:

The triangle with the maximum area is an Equilateral Triangle.