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In two recent Notes (1354 and 1289) formulae have been given for the determination of some, but not all, triangles having integral sides and one integral median. All such triangles can be found, with the aid of a list of primes of the form 4n + 1.
From the equation AB2 + AC2 = 2AD2 + 2BD2 it follows that if AB, AC and AD are to be integral, then 2BD2 is an integer, whence, if BC is to be integral, BD is an integer.
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- Copyright © Mathematical Association 1939