The length of the three sides of a triangle are positive integers A, B and C, with A < B < C and satisfying:

  {3A/104}= {3B/104}= {3C/104}

where, {x}=x-[x] and, [x] denotes the greatest integer ≤ x

Determine the minimum perimeter length of the triangle.

(In reply to re: possible solution. by Ady TZIDON)

Ady, you are quite right, the divisor is 10^4, not 10^3.

Using the same method, and given the period (500) for the last 4 digits of 3^n, by analogy the minimum perimeter = 3003.

For obvious reasons, ascertainment of the last 4 digits does not require direct calculation.

 

Edited on September 20, 2013, 3:57 pm

Posted by broll on 2013-09-20 15:42:21