Choose the measures of the three angles via the sliders and/or input boxes.[br][br]Are there conditions that we know that there is no such triangle possible? Remember that in Hyperbolic Geometry the sum of the measures of the interior angles is not constant, but it has an upper bound.[br][br]Set the angle measures so that a triangle is possible.[br]Slowly slide the Step slider to see the construction unfold.[br][br]This one is difficult. We have to move both points B and C to get the two indicated conditions to hold. [br]Can you figure it out?[br][br]In Hyperbolic Geometry, if we have two triangles with all three pairs of corresponding angles congruent, do the two triangles have to be congruent? (Hint, the answer here is different than in Euclidean Geometry.)