There are n sticks which have distinct integer length. Suppose that it's possible to form a non-degenerate triangle from any 3 distinct sticks among them. It's also known that there are sticks of lengths 5 and 12 among them. What is the largest possible value of n under such conditions?

The maximum size is 6, which is attainable while the set is {5,8,9,10,11,12}

Posted by K Sengupta on 2023-07-11 22:32:03