Re: Integer solutions for 60 and 120 degree triangles

On Thu, 10 Apr 2008 13:06:23 GMT, rob@xxxxxxxxxxxxxx (Rob Johnson)
wrote:

Using the formulas on the cited webpage, here is a listing of the
first several 120 and 60 degree triangles:

(m,n) 120 60-acute 60-obtuse
(3,1) (3,5,7) (8,5,7) (3,8,7)
(4,2) (8,7,13) (8,15,13) (15,7,13)
(5,1) (5,16,19) (21,16,19) (5,21,19)
(6,4) (24,11,31) (24,35,31) (35,11,31)
(7,1) (7,33,37) (40,33,37) (7,40,37)
(7,5) (35,13,43) (35,48,43) (48,13,43)
(8,2) (16,39,49) (55,39,49) (16,55,49)
(9,1) (9,56,61) (65,56,61) (9,65,61)
(9,5) (45,32,67) (45,77,67) (77,32,67)
(9,7) (63,17,73) (63,80,73) (80,17,73)
(10,4) (40,51,79) (91,51,79) (40,91,79)
(10,8) (80,19,91) (80,99,91) (99,19,91)

Rob Johnson <rob@xxxxxxxxxxxxxx>
take out the trash before replying

G'day G'day Rob,

That is fantastic for my purposes. I'd overlooked the fact that
there would be two solutions for the 60 degree case; one for triangles
with acute angles and one with an obtuse angle.

The examples generated will be most helpful in creating AC electrical
problems for electrical technicians. I've found that using examples
with integer solutions leads to greater consistency in marking.

Thank you,
Best wishes,
--
Quentin Grady ^ ^ /
New Zealand, >#,#< [
/ \ /\
"... and the blind dog was leading."

http://homepages.paradise.net.nz/quentin
.

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