Question

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

Options

• 2r

•  r²

• r

• \[\sqrt{r}\]

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 (ΔABC)=1/2 (r)(2r)`

`= r^2"sq.unit"`