Hey, all who like to write on Quant should know about this.
Amit is standing on vertex A of triangle ABC, with AB = 3, BC = 5, and CA = 4. Amit walks according to the following plan: He moves along the altitude-to-the-hypotenuse until he reaches the hypotenuse. He has now cut the original triangle into two triangles; he now walks along the altitude to the hypotenuse of the larger one. He repeats this process forever. What is the total distance that Amit walks?
(a) 48/25 (b) 12/5 (c) 12 (d) 15
Does anyone know why