CAYLEY 2005 Problem 25

The positive integers a,b and c satisfy \displaystyle\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{c^2}.
The sum of all possible values of a\le100 is

Answer Choices
A. 315
B. 615
C. 680
D. 555
E. 620