Let P be a point on the hyperbola H: x^2/9-y^2/4=1, in the first quadrant such that the area of triangle formed by P and the two foci of H is 2 √ 13.…

Let $\displaystyle P$ be a point on the hyperbola $\displaystyle H: \frac{x^2}{9}-\frac{y^2}{4}=1$, in the first quadrant such that the area of triangle formed by $\displaystyle P$ and the two foci of $\displaystyle H$ is $\displaystyle 2 \sqrt{13}$. Then, the square of the distance of $\displaystyle P$ from the origin is