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Limited reflections (Posted on 2019-02-19) Difficulty: 2 of 5
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 314/379

Which corner of the triangle will the laser beam hit first?

No Solution Yet Submitted by Danish Ahmed Khan    
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re(2): There are easy ways | Comment 6 of 7 |
(In reply to re: There are easy ways by Steve Herman)

I think even now, I'd be hard pressed to prove the statements about the cases. But I'd not been able to formulate such generalizations. In playing around with diagrams there seemed to be too many possibilities, and I'd have to expand my diagrams beyond what I considered reasonable to come up with any general parity rules.

In the current situation I also did not know beforehand there must have been an even number of hypotenuses crossed (reflected from).

  Posted by Charlie on 2019-02-21 13:43:04
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