It is known that the focus of the hyperbola X & # 178 / / A & # 178; - Y & # 178 / / B & # 178; = 1 is F1 and F2, And the point P on the hyperbola satisfies that Pf1 is perpendicular to PF2, Pf1 = 3, PF2 = 4?

It is known that the focus of the hyperbola X & # 178 / / A & # 178; - Y & # 178 / / B & # 178; = 1 is F1 and F2, And the point P on the hyperbola satisfies that Pf1 is perpendicular to PF2, Pf1 = 3, PF2 = 4?

PF1-PF2=2a=1
a=1/2
∵PF1⊥PF2
∴PF1^2+PF2^2=F1F2^2
That is, 3 ^ 2 + 4 ^ 2 = (2C) ^ 2
c=5/2
e=c/.a=5