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: A triangle that works, may not be minimum (spoiler)
I don't have time to investigate right now, but each triangle contains a perfect cube.
The triple and quadruple angle formulas for sin(3B) and sin(4B) each contains a sin(B)^3
Posted by Jer
on 2015-03-04 12:32:22