Conic Sections · Hyperbola latus rectum and foci

Let

P\left(10, 2\sqrt{15}\right)

be a point on the hyperbola

\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1

, whose foci are

S

and

S'

. If the length of its latus rectum is 8, then the square of the area of

\Delta PSS'

is equal to:

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