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**