Length of Stick

Probability Level 3

You have eight sticks each of integer length. What is the smallest possible length of the largest stick among those such that no three sticks can be used to form a triangle?


The answer is 21.

Ar Agarwal by Ar Agarwal , 30, India

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1 solution

Sunil Bn
Aug 11, 2014

Basically inequality theorem of triangle. Start with 1,1,2.. Which in turn forms Fibonacci's series 1,1,2,3,5,8,13,21..

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I believe this problem should require that the sticks be of distinct lengths. Otherwise, wouldn't 3 be a solution? (Say six sticks of length one, one of length two and one of length three.)

Bill Bell - 6 years, 8 months ago

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If you have six sticks of length one, you can form an equilateral triangle with side length 1.

Calvin Lin Staff - 6 years, 5 months ago

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