I am having trouble with this one.

Question: Construct a hyperbolic triangle no two of whose altitudes meet.

(Hint construct a hyperbolic triangle whose altitudes are segments of vertical geodesics)

this works when two of the altitudes lie exactly on triangle's sides. When the question says CONSTRUCT what do i need to specify?

Ok...dumb me...it was right infront of my eyes....i was wondering about too many other things:::::::

Here is the solution (you might want to extend the geodesics). It was made using nonEuclid.jar

I thank myself.