Question 234188
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


The length that will not work is 18


This is because for any triangle, its 3rd side MUST be less than the sum of its other 2 sides, but greater than their difference. 


Now, since the sum of 2 of its sides is 48 (34 + 14), and the difference of its 2 sides is 20 (34 - 14), it follows that 3rd side should be less than 48, but greater than 20. This means that 18 WILL NOT WORK!


In other words, {{{highlight_green(20 < _3rd_side_ <  48)}}}