From a Google search
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.
Possible combos:
2x + 7x < 36-9x
18x < 36
x < 2
x =1 2 7 27
x=2 4 14 18 These do not meet the triangle inequality theorem above
x = 1.5 5 17.5 13.5 <==== possible 5:17.5 = 2:7 longest = 17.5 cm