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A Pythagorean triplet (Posted on 2012-08-28) Difficulty: 3 of 5
Given that a2+b2 = c2
find the value of a*b*c if a+b+c=1000.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

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possible solution | Comment 1 of 4

a+b+c=1000, a^2+b^2=c^2, a*b*c=x in WolframAlpha gives 84 solutions, of which the only Pythagorean triplet is {375,200,425} giving x= 31,875,000.

This triplet is clearly not primitive; it is 25*{15,8,17} (u=1,v=4).

Edited on August 28, 2012, 11:00 am
  Posted by broll on 2012-08-28 10:44:00

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