Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle $\mathrm{ABC}$ right angled at $\mathrm{B}$. The points $\mathrm{A}$ and $\mathrm{B}$ are maintained at temperatures $T$ and $\sqrt{2}T$, respectively, in the steady-state. Assuming that only heat conduction takes place, the temperature of the point $\mathrm{C}$ is