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MathNet 2009-part-02 — 175 problems (EN–VI) Question 166

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 166

In an isosceles triangle $ABC$, $\overline{AC} = \overline{BC} = 1$. For which value of $\gamma = \angle ACB$ does the expression $g = \frac{\overline{AB}^2 + 2}{P_{\Delta ABC}}$ attain its smallest value, where $P_{\Delta ABC}$ denotes the area of triangle $ABC$?