An awesome pythagorean triple is a pythagorean triple of the form a^{2}+(a+1)^{2}=b^{2}, a and b positive integers. Given that a, a+1, and b form the third positive awesome pythagorean triple, find a.
An awesome pythagorean triple is a pythagorean triple of the form a^{2}+(a+1)^{2}=b^{2}, a and b positive integers. Given that a, a+1, and b form the third positive awesome pythagorean triple, find a.