suppose the three sides are a, b, and c, with c being the longest, a being the shortest
first equation: c=(a+b)-66
second equation: 2a=c-55=> c=2a+55
plug c=2a+55 into the first equation: 2a+55= a+b-66 => b=a+121
a+b+c=a+(a+121)+(2a+55)=7272 =>4a+176=7272 =>a=1774
a=1774, b=1895, c=3603