Question 1008068
Call the sides a, b and c.  Then we have
a + b + c = 30
a = b + 1
b = c + 7  or  c = b - 7
Now substitute into the first equation and get
b+1 + b + b-7 = 30
3b - 6 = 30
3b = 36
b = 12  so that
a = 13
c = 5