Pythagorean Triples

[Jody Crothers]

Hi All,

I hope all is going well for you.

I am looking for a list of pythagorean triples in a spreadsheet, a b and c in separate columns.

I want my students to investigate the triple and associated triangle area.

Does anyone have such a document so I don't have to manually type in the values

Cheers

Jody

Sent from my Galaxy

[Andy Kemp]

The first 2100 triples are here:

https://www.tsm-resources.com/tsm/lists/docs/PythagTriples.xls

Hope it’s useful.

Best wishes

Andy 

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[Thomas Lake (Tom)]

Why type them in when you can generate them? Here's a BASIC program that will do that. You'll have to convert it to either TI BASIC or VBA

to enter into a spreadsheet  but that shouldn't be too hard. 

If you want to eliminate multiples, then change line 220 to read

LET count=count-1

Adjust the limit for U and V in lines 60 and 70.

10 PRINT "GENERATION OF PYTHAGOREAN TRIPLES"
20 PRINT
30 PRINT "TRIPLES","","","MULT OF","U AND V","NUMBER OF TRIPLES"
50 PRINT
55 LET COUNT=0
60 FOR U=1 TO 10
70    FOR V=U+1 TO 40
75       LET COUNT = COUNT+1
80       LET A=2*U*V
90       LET B=U^2+V^2
100       LET C=V^2-U^2
110       FOR N = 10 TO 2 STEP -1
120          IF A/N<>INT(A/N) THEN 240
130          IF B/N<>INT(B/N) THEN 240
140          IF C/N<>INT(C/N) THEN 240
150          LET F=A/N
160          LET G=B/N
170          LET H=C/N
180          LET K=MAX(A,C)
190          LET J=MIN(C,A)
200          LET S=MAX(F,H)
210          LET T=MIN(H,F)
220          PRINT J,K,B,"(";T;",";S;",";G;")","(";U;",";V;")",COUNT
230          GOTO 270
240       NEXT N
250       LET K=MAX(A,C)
260       LET J=MIN(C,A)
265       PRINT J,K,B,"","(";U;",";V;")",COUNT
270    NEXT V
280 NEXT U
300 END

[John Hanna]

Found these two online.

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[Heidi Rudolph]

Of course I do! Somewhere…….   Seriously! Nspire document, you know. 

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[Jody Crothers]

Hi all,

Some interesting results as you work through the first 1000 Pythagorean triples.

Now could I create a slider to release data points as I move the slider?

Jody Crothers

Head of Learning Area (Mathematics)

Ridge View Secondary College

Western Australia

www.jodstar.com

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From: tins...@googlegroups.com <tins...@googlegroups.com> on behalf of Jody Crothers <jodst...@hotmail.com>
Sent: Saturday, 12 August 2023 12:00 PM

To: TI IT list <tins...@googlegroups.com>
Subject: [tinspire] Pythagorean Triples

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