The length of a wire is lA when the tens...

The length of a wire is `l_A` when the tension in it is `T_A` and of another wire is `l_B` when the tension is `T_B`. The original length of the wire is

`(l_A + l_B)/2`

`(l_A T_b + l_B T_A)/ (T_A + T_B)`

`(l_A T_b - l_B T_A)/ (T_B - T_A)`

`sqrt(T_A T_b l_A l_B)`

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