Question

Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40

Answer 1

Two sides are 34 and 14.

The third side can't be longer than (34 + 14) = 48, because the 34 and the 14
together could not reach from one end of it to the other. 

The third side also can't be shorter than 20, because the 20 and the 14 together
could not reach from one end of the 34 to the other.

So 18 doesn't work. (18 + 14) = 32 ... they couldn't cover the 34 .