In the figure above, \(O\) is the center of the circle, with radius 10 units and \(PA\) is a tangent, whose length is equal to 24 units. If the lengths of \(PB\) and \(PC\) are distinct positive integers, and \(PB < PC,\) then find the sum of all possible lengths of \(PB?\)

A. 16
B. 18
C. 34
D. 58
E. 126

[spoiler]OA=C[/spoiler]

Source: e-GMAT