Question

The area of the largest triangle that can be inscribed in a semi-circle of radius r, is

Options

• r²

•  2r²

• r³

• 2r³

Answer 1

The triangle with the largest area will be symmetrical as shown in the figure.

Let the radius of the circle be r.

Hence, 

`ar (Δ ABC)=1/2(r)(2r)`

`= r^2` sq.unit