Consider an equilateral triangle 4ABC with unit side length

Consider an equilateral triangle 4ABC with unit side length. Let M be the midpoint of side AB. A ball is released in a straight line from M and bounces o the side BC at a point D. Then, it bounces o the side CA at a point E and lands exactly at B. By the law of re ection, we have \BDM = \CDE and \CED = \AEB. Calculate MD + DE + EB, the distance that the ball travels before reaching B.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #14712