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
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