Question

The focus of the hyperbola x^2/a^2 - y^2/b^2 = 1 is c_h units from (0, 0).
Imagine the ellipse inscribed in the central rectangle of the hyperbola.
Its focus is ce units from (0, 0).
How far apart are the foci (c_e, 0) and (c_h, 0)?
Give the distance in terms of a and b. Describe your strategy and show your steps.
 Include a graph to help with your explanation.