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IKMC 2009 - Grades 11-12 - Paper 02 - Self-study Question 11

IKMC · IKMC 2009 - Grades 11-12 - Paper 02 - Self-study

Question 11

A small ball starts at corner A of a square billiard table of side 2 m. It follows the path shown, reflecting off three sides, and reaches corner B. At each bounce, the angle of incidence equals the angle of reflection. What is the total path length in metres?

Question illustration
  1. 7
  2. $2\sqrt{13}$
  3. 8
  4. $4\sqrt3$
  5. $2(\sqrt2+\sqrt3)$