Question 833572
My numbers are {{{11}}} , {{{12}}} , {{{23}}} , {{{35}}} , {{{58}}}, and {{{93}}}  .
If {{{93}}} were the length of the longest side, to form a triangle, the lengths of the other two sides must add up to more than {{{93}}} , but I chose the numbers so that {{{35+58=93}}} is equal to or greater than the sum of any two of the other numbers.
Each of the numbers {{{58}}}, {{{35}}}, and {{{23}}}, cannot be the measure of the longest side for a similar reason:
{{{58=35+23}}} , {{{35=12+23}}} , and {{{23=11+12}}} .