Question 97137
A^2+(A+2)^2=10^10
A^2+A^2+4A+4=100
2A^2+4A+4=100
2A^2+4A+4-100=0
2A^2+4A-96=0
2(A^2+2A-48)=0
(A-6)(A+8)=0
A-6=0
A=6 ANSWER FOR THE SMALLER SIDE
6+2=8 FOR THE LONGER SIDE
PROOF
6^2+8^2=10^2
36+64=100
100=100