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The medians of medians (Posted on 2014-12-20) Difficulty: 4 of 5
<begin> For a triangle with integer sides a,b,c (none over 2000) evaluate the triplet of its medians ma , mb , mc .
Let those three become sides of a new triangle i.e. (a,b,c) =(ma , mb , mc ).

It is up to you to find a triplet (a,b,c) such that the above procedure can be executed a maximal number of times, creating sets of “medians“ with integer values only.

The answer should include: (a,b,c) and all interim sets of medians.

Rem: Can be solved analytically.

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsPossible SolutionHarry2014-12-23 14:54:00
re(2): SolutionDej Mar2014-12-20 18:47:24
Questionre: SolutionHarry2014-12-20 18:24:16
Solutionre: extra challenge: Dej Mar2014-12-20 16:35:20
Hints/Tipsextra challengeAdy TZIDON2014-12-20 13:13:53
SolutionSolutionDej Mar2014-12-20 10:46:01
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