SOLUTION: Kate has found six two-digit numbers, such that no three of them can constitute the lengths of a triangle's sides.Can you find such a number?

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Question 833572: Kate has found six two-digit numbers, such that no three of them can constitute the lengths of a triangle's sides.Can you find such a number?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
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%2B58=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%2B23 , 35=12%2B23 , and 23=11%2B12 .