Question 1002463

A diagram made to show Triangle ABC, A at top, B and C as base angle points.  AB=AC and as given  angle measure at B is 2*BC, and angle measure at C is  3*AB.  The base angles are congruent which  is to mean measure angle at B equals measure of angle at C.


The two relationships:
{{{system(AB=AC,2BC=3AB)}}}


Using that system of equations,
{{{system(AB=(2/3)BC,AC=(2/3)BC)}}}



Goal is to find perimeter.
{{{AB+BC+AC}}}
{{{(2/3)BC+BC+(2/3)BC}}}
{{{(2/3+1+2/3)BC}}}
{{{highlight((7/3)BC)}}}


This seems the best that can be done.  Something of this sort or another equivalent is what is possible.  The problem description is not enough for a VALUE for the perimeter.
(POST-ADD:  I believe misunderstood the data given AFTER the description, and did not use that as any data.)