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 April 25th, 2019, 01:06 PM #1 Senior Member   Joined: Mar 2019 From: TTF area Posts: 106 Thanks: 1 Show these point form a square Show ACDE is a square C=10,2 A=4,2 E=8,-8 D=14,-4 Last edited by skipjack; April 25th, 2019 at 08:38 PM.
 April 25th, 2019, 01:17 PM #2 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 717 They don't. Side lengths are different.
 April 25th, 2019, 03:49 PM #3 Senior Member   Joined: Sep 2016 From: USA Posts: 635 Thanks: 401 Math Focus: Dynamical systems, analytic function theory, numerics Should be $A = (4,-2)$. Also, what have you tried?
April 25th, 2019, 04:01 PM   #4
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Quote:
 Originally Posted by SDK Should be $A = (4,-2)$. Also, what have you tried?
Yes you're correct. I know it's a square. I have found all side lengths to be approximately 7.21 units or √52 and the diagonal from AD and CE are √104 or approximately 10.19 units and they are all at right angles to each other. What are some mathematical statements I can use?

Last edited by skipjack; April 25th, 2019 at 08:35 PM.

 April 25th, 2019, 11:18 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,935 Thanks: 2209 The easiest approach is to show that the diagonals are mutually perpendicular and have a common mid-point. This suffices to establish that ACDE is a square and doesn't require use of Pythagoras.
 April 26th, 2019, 01:36 PM #6 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 717 If all angles are right angles and side lengths the same, it is a square.
 April 26th, 2019, 01:45 PM #7 Member     Joined: Feb 2019 From: United Kingdom Posts: 44 Thanks: 3 This makes me cry. Use vectors!

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