The two focal points of hyperbola y ^ 2 / 9-x ^ 2 / b ^ 2 = 1 are F1 and F2 respectively. If the length of chord AB passing through F1 is 4, the perimeter of triangle abf2 is 4

The two focal points of hyperbola y ^ 2 / 9-x ^ 2 / b ^ 2 = 1 are F1 and F2 respectively. If the length of chord AB passing through F1 is 4, the perimeter of triangle abf2 is 4

a²=9
a=3
Defined by hyperbola
AF2-AF1=2a=6
BF2-BF1=2a=6
Add
(AF2+BF2)-AB=12
AB=4
So af2 + BF2 = 16
So perimeter = af2 + BF2 + AB = 20