過雙曲線x^2/16-y^2/9=1左焦點F1的弦AB長5.則三角形ABF2(F2為右焦點)的周長為?

過雙曲線x^2/16-y^2/9=1左焦點F1的弦AB長5.則三角形ABF2(F2為右焦點)的周長為?

雙曲線a=4
AF2-AF1=2a=8
BF2-BF1=2a=8
AF1+BF1=5
周長=AF2+BF2+AB
=AF2+BF2+AF1+BF1
=AF2-AF1+BF2-BF1+2(AF1+BF1)
=8 +8 - 2*5
=6