The straight line passing through the focus F1 of the hyperbola and the same branch of the hyperbola intersect at two points a and B, and | ab | = m, and the other focus F2, find the perimeter of the triangle abf2

The straight line passing through the focus F1 of the hyperbola and the same branch of the hyperbola intersect at two points a and B, and | ab | = m, and the other focus F2, find the perimeter of the triangle abf2

Perimeter of triangle abf2
=|AF2|+|BF2|+|AB|
=(2a+|AF1|)+(2a+|BF1)+|AB|
=4a+(|AF1|+|BF1|)+|AB|
=4a+|AB|+|AB|
=4a+m+m
=4a+2m