Mathematics - Properties of Triangle Question with Solution | TestHub

The maximum is attained by an isosceles right triangle with legs $\sqrt{2R}$ and hypotenuse 2R. Its area is $R^2$, s=(1+$\sqrt{2}$)R and r=$R^2$/s=($\sqrt{2}$-1)R. Also $\sum 1$/rᵢ=s/$\Delta$=(1+$\sqrt{2}$)/R. Thus B and C hold.