It is known that F1F2 is the two focal points of the hyperbola x2 / 4-y2 = 1, and the point P is on the hyperbola and satisfies the angle f1pf2 = 90 ° to find the s triangle f1pf2

a=2,b=1,c^2=a^2+b^2
F1P-F2P=2a=4
F1P^2+F2P^2=(2c)^2=20
s=(F1P*F1P)/2=(20-4^)/4=1
I don't know if it's right. I'll do it by myself

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