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Light Beam Reflection (Posted on 2016-03-01) Difficulty: 3 of 5
PQRS and QRTU are two faces of a cube with PQ = 12.

A beam of light emanates from vertex P and reflects off face QRTU at point X, which is 7 units from QU and 5 units from QR. The beam continues to be reflected off the faces of the cube.

The length of the light path from the time it leaves point P until it next reaches a vertex of the cube is given by A√B, where A and B are integers and B is not divisible by the square of any prime.

Find A and B.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionsolutionCharlie2016-03-01 15:22:28
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