Three rods of identical cross-sectional area and made from the same metal from the sides of an isosceles traingle ABC, right-angled at B. The points A and B are maintained at temperatures T and \[(\sqrt{2})\] T respectively. In the steady state, the temperature of the point C is \[{{T}_{c}}\]. Assuming that only heat conduction takes place, \[{{T}_{c}}/T\]is

• A. \[\frac{1}{2\left( \sqrt{2}-1 \right)}\]
• B. \[\frac{3}{\sqrt{2}+1}\]
• C. \[\frac{1}{\sqrt{3}\left( \sqrt{2}-1 \right)}\]
• D. \[\frac{1}{\sqrt{2}+1}\]