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Topic: Re: Special Right Triangles
Replies: 17   Last Post: Nov 4, 2008 7:28 AM

 Messages: [ Previous | Next ]
 Kathryn Brennan Posts: 1 Registered: 10/30/08
Re: Special Right Triangles
Posted: Oct 30, 2008 12:44 PM

How cool was that...I can't stand it! Only people like ourselves could like that!!! I am going to show my Basic Geometry kids that as we just covered the Pythagorean Theorem.

Thanks,
Kathy

>>> "Nanette DeGroat" <NDeGroat@gcsny.org> 10/30/08 6:49 AM >>>
Hello Eric,

This is great. Could you send me your other material?

Thanks Nanette DeGroat

>>> "Eric O'Brien" <eobrien19@yahoo.com> 10/29/2008 6:30 PM >>>
Loretta,

Whenever possible I try to teach kids about wonderful patterns relating to Pythagorean triples.

Look at this infinite list of triples, beginning with 3 4 5:

3 4 5
5 12 13
7 24 25
9 40 41

Questions for students: What patterns do you notice as you look down the columns? Based on these columns, what patterns do you recognize? What is 3 squared? (9) Can you name two consecutive numbers with a sum of 9?(4 and 5 -hey, wait a minute!)
What is 5 squared? (25) Can you name two consecutive numbers with a sum of 25? (12 and 13 - Wow! Does this happen all the time?) Do you see any patterns building?

If this is of any interest to you, let me know and I'll share another chestnut on special triangles.

Eric O'Brien
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Date Subject Author
10/30/08 Kathryn Brennan
10/30/08 John Sittig
10/30/08 L.C.
10/30/08 Tom Kenyon
11/3/08 Ackerman Sheldon \(75X502\)
11/3/08 Eric O'Brien
10/30/08 Sharon
10/30/08 Ackerman Sheldon \(75X502\)
10/31/08 egmath@gmail.com
10/31/08 VanLeeuwen, David
10/30/08 alice smiriglio
10/30/08 Eric O'Brien
10/31/08 Roberta Silver
10/30/08 Eric O'Brien
10/31/08 Sharon
11/1/08 Alexandra Schmidt
11/3/08 Roberta Silver
11/4/08 Robert Orchanian