Question: In any ∆ABC, $\frac{a^{2} + b^{2} + c^{2}}{R^{2}}$has maximum value...

Question

In any ∆ABC, $\frac{a^{2} + b^{2} + c^{2}}{R^{2}}$ has maximum value

Answer 1

∴ $\frac{a^{2} + b^{2} + c^{2}}{R^{2}}$ = 4[sin² A + sin²B + sin² C]

= 8 [1+ cos A cos B cos C]

≤ 8 $\left\lbrack 1 + \frac{1}{8} \right\rbrack$ ≤ 9

Question: In any ∆ABC, \(\frac{a^{2} + b^{2} + c^{2}}{R^{2}}\)has maximum value...