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Conference rusure::math

Title:	Mathematics at DEC

Moderator:	RUSURE::EDP

Created:	Mon Feb 03 1986
Last Modified:	Fri Jun 06 1997
Last Successful Update:	Fri Jun 06 1997
Number of topics:	2083
Total number of notes:	14613

278.0. "5 is a congruent number" by HARE::STAN () Thu May 02 1985 20:45

Find a right triangle with rational sides and area 5.

			Reference
			---------
H.G. Zimmer, Congruent Numbers - From Elementary to Algebraic Number Theory.
	SIGSAM Bulletin. 18(1984)54-62.

T.R Title User Personal
Name Date Lines

278.1 RAINBO::GRANT Tue May 07 1985 14:53 8

T.R	Title	User	Personal Name	Date	Lines
278.1		RAINBO::GRANT		`Tue May 07 1985 14:53`	8
	My little computer here tells me that sides of 3/2 and 20/3 give an area of 5 and a hypotenuse of 41/6. Scanning the output, there seem to be no more answers where the fractions are reduced to simplest terms, and all the numerators and denominators are less than 100. ( I was expecting some obscure answer with multi-digit denominators.) -Jim Grant, Littleton

My little computer here tells me that sides of 3/2 and 20/3 give an area of 5
and a hypotenuse of 41/6.  Scanning the output, there seem to be no more 
answers where the fractions are reduced to simplest terms, and all the 
numerators and denominators are less than 100.

( I was expecting some obscure answer with multi-digit denominators.)

-Jim Grant, Littleton