169-follower problem

169 is a square and it is a sum of squares (169=122+52169 = 12^2 + 5^2).

But its square can also be written as the sum of two squares. Let 1692=a2+b2\large 169^2 = a^2 + b^2 with a>b>0a > b > 0 and gcd(a,b)=1\gcd(a,b)=1. Without using a calculator, find a+ba + b.

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