perplexus.info :: Just Math : Minimum perimeter length (2)

Minimum perimeter length (2) (Posted on 2013-09-19)

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

  {3^A/10⁴}= {3^B/10⁴}= {3^C/10⁴}

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

Determine the minimum perimeter length of the triangle.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required minimum perimeter= 3003.
For an explanation, refer to the solution submitted by broll here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): possible solution.	K Sengupta	2024-04-25 08:32:43
re(2): possible solution.	broll	2013-09-20 15:42:21
re: possible solution.	Ady TZIDON	2013-09-20 14:26:18
possible solution.	broll	2013-09-20 07:26:26

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