A lot of reflections
Geometry
Level
2
Triangle \(ABC\) has vertices \(A = (0,1),\) \(B=(1,0),\) and \(C=(0,0)\) in the coordinate plane.
The insides of the sides are lined with mirrors, and then a laser beam is fired from the origin with a slope of \(\frac{314}{379}.\)
Which corner of the triangle will the laser beam hit first?
by
Jeremy Galvagni