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

**imho** there is no triangle with integer sides such that

**angle B=3 * angle A, A being the smallest.**

The function **f=** **sinA+SIN(3A)+SIN(4A) has**

a minimum (or maybe maximum*) value when

**A=0.577969 radians **

and the closest to an "integer " triplet

**is 20, 27, 36.12 **

** i.e. a perimeter slightly over 83.**

***min or max - ............I have solved f'=0**

**Please comment, hope I DID NOT ERR**

*Edited on ***March 4, 2015, 8:57 am**