Three rods of identical area of cross-section and made from the same metal from the sides of an isosceles triangle. ABC, right angled at B. The points A and B are maintained at temperatures T and `sqrt 2T` 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 equal to

A. `1 / (sqrt2+1)`

B. `3 / (sqrt2 + 1)`

C. `1 / (2(2sqrt2 - 1)`

D. `1 / (sqrt3(sqrt2 -1)`