1. The problem statement, all variables and given/known data ΔABC has AB= 8 in, BC= 10in , CA= 6in . AD is the perpendicular from A to BC. DE the perpendicular from D to AB, EF the perpendicular from E to BD and so on. Show that CA + AD + DE+.... is a geometric series and find it's sum to infinity. 2. Relevant equations 3. The attempt at a solution Umm I assumed that the perpendicular would halve the base and I used Pythagoras' theorem to find the sides I would need. Well this turned out to be incorrect. I'm not sure how to find the right lengths of the sides, my geometry is weak. Could someone guide me and also give me a site or something that has a good geometric problems.