Let ABC be a triangle with integral side lengths such that angle A=3 * angle B. Find the minimum value of its perimeter.

(In reply to re(2): A triangle that works, may not be minimum (spoiler) by Jer)

I have found my errors:

a. The right triplet  does not necessarily reduce to  1:b:c

b. R  is a function of  angleA.

 I will try to find an analytical approach, time allowing.

 BTW  my a+b+c formula is a direct extension of the law of sinuses:

a/sinA=b/sinB=c/sinC=2R

Posted by Ady TZIDON on 2015-03-04 23:17:40