a+b+c=117
lets say that a is shortest and c is longest
1 side is 4 more than shortest
longest is 11 more than shortest
now we know
b=4+a (since longest is 11 more, this cannot be longest)
c=11+a
sub
a+4+a+11+a=117
add like terms
3a+15=117
minus 15 from both sides
3a=102
divide both sides by 3
a=34
find others
b=4+a
b=4+34
b=38
c=11+a
c=11+34
c=45
the legnsh are
34in, 38in, 45in
