Mathematics - Properties of Triangle Question with Solution | TestHub

If I be the incentre of triangle ABC and ${\mathrm{R}}_1,{\mathrm{R}}_2,{\mathrm{R}}_3$ be the circum radius of the triangle BIC , CIA, AIB respectively, then maximum value of $\frac{a^2}{R_1^2}+\frac{b^2}{R_2^2}+\frac{c^2}{R_3^2}$ is $\_\_\_\_$