We have a billiard table in the shape of a right triangle ABC with B the right angle. A cue ball is struck at vertex A and bounces off sides BC, AC, AB, and AC at points D, E, F, and G respectively ending up at vertex B. Assume the angle of incidence equals the angle of reflection at each bounce. If the path segments AD, EF, and GB are concurrent, then what is the tangent of angle BAD?
(In reply to My Efforts
A little playing with sketchpad showed me this problem is only possible with certain right triangles.
AB/BD must be larger than some value.
Posted by Jer
on 2005-05-12 18:10:48