perplexus.info :: Just Math : Reciprocal Equation #2

Reciprocal Equation #2 (Posted on 2003-07-20)

Find all sets of positive integers A, B, and C which satisfy

1/A = 1/B + 1/C.

See The Solution Submitted by Brian Smith

Rating: 3.4000 (5 votes)

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Perpendicular vectors of integer length

Comment 15 of 15 |

With each solution of this equation you can construct three mutually perpendicular vectors with integer length; namely,

(-A,B,C), (B,C,-A), and (C,-A,B),

each of integer length B+C-A.

Posted by McWorter on 2005-07-19 02:00:51

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