Find the equation of a hyperbola, given a point on it and the length of the transverse axis

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My textbook has the following question:

The transverse axis of a hyperbola is of length $24$ and the curve passes through the point $(13, 10)$. Find the equation of the hyperbola. Also give the parametric form of your equation.

I'm not sure if there's enough information given to find the formula. I know that the distance from the centre to the vertex will be $12$. Not sure how to find the rest of the equation. Help will be appreciated :)