∴a=3 b=4 c=5 F 1(-5,0).F2(5,0)
P(x 1, y 1) y 1 is the distance from point p to the x axis.
∵PF 1⊥PF2
∴│pf 1│^+│pf2│^=│f 1f2│^=4c^= 100
│PF 1│-│PF2│=2a=6
∴(│pf 1│-│pf2│)^+2│pf 1││pf2│= 100
( 1/2)│pf 1│PF2 │= 16
Triangle PF 1F2 region
s =( 1/2)×│f 1 F2│×│y 1 │=( 1/2)│pf 1│PF2 │= 16
∴y 1= 16/5