December 19th, 2018, 08:50 PM  #1 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3  triangle sorting
Why any rightangle triangle cannot be also equilateral triangle? How can I explain it? 
December 19th, 2018, 09:24 PM  #2 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,266 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  
December 19th, 2018, 11:06 PM  #3  
Senior Member Joined: Oct 2009 Posts: 863 Thanks: 328  Quote:
In fact, in Euclidean geometry as Euclid did it, he never mentioned angles at all except the right angle. So if you wanted to give a proof in the style of Euclid you wouldn't be able to do this.  
December 20th, 2018, 03:50 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2216  
December 20th, 2018, 04:29 AM  #5  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,266 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  I'll stick with Euclid for now. Quote:
I hope you don't want me to prove that all right angles have the same measure? I'd have to look that one up. Dan Last edited by topsquark; December 20th, 2018 at 04:32 AM.  
December 20th, 2018, 04:34 AM  #6  
Senior Member Joined: Oct 2009 Posts: 863 Thanks: 328  Quote:
I'm not saying your argument is bad, it's perfect for the OP! I'm just wondering about what it would take if you do it perfectly along the philosophy of the elements. That's one of the Euclidean axioms. Last edited by skipjack; December 20th, 2018 at 06:30 AM.  
December 20th, 2018, 04:39 AM  #7  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,266 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff.  Quote: Dan Last edited by skipjack; December 20th, 2018 at 03:00 PM.  
December 20th, 2018, 07:01 AM  #8 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3 
If I want to explain it to a kindergarten children. How I can do it? By simple way? Any ideas? 
December 20th, 2018, 01:21 PM  #9 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 Math Focus: Yet to find out.  
December 23rd, 2018, 09:37 AM  #10 
Senior Member Joined: May 2008 Posts: 301 Thanks: 81  

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