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Minimizing Perimeter (Posted on 2015-03-04) Difficulty: 2 of 5
Let ABC be a triangle with integral side lengths such that angle A=3 * angle B. Find the minimum value of its perimeter.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: NO DICE.....not a spoiler | Comment 2 of 15 |
(In reply to NO DICE.....not a spoiler by Ady TZIDON)

I have not tried this problem, but concluding the angle C = 2A you have added the assumption that it is a right triangle.

But then again 20, 27, 36.12 is not quite a right triangle.

Edit:  I see where the 4A comes from: sin(180-4A)=sin(4A)
But I don't see the value in minimizing sin(A)+sin(B)+sin(C)

Edited on March 4, 2015, 9:18 am
  Posted by Jer on 2015-03-04 09:15:51

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