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 February 13th, 2018, 06:28 AM #1 Member   Joined: Feb 2018 From: Iran Posts: 50 Thanks: 3 Analytic geometry
 February 13th, 2018, 08:41 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 My head is spinning... HOW are the given vertices possible?
 February 13th, 2018, 12:13 PM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond You're assuming a standard arrangement of the coordinate axes.
 February 13th, 2018, 12:48 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,757 Thanks: 2138 Pgram.JPG As $P$ is the centroid of triangle $ABD$, $AP = AC/3$, and so ($x$, $y$) = (2/3)(2, 1) + (1/3)(-1, -5) = (1, -1). Thanks from Maschke and Elize Last edited by skipjack; February 13th, 2018 at 01:29 PM. Reason: to add diagram
February 13th, 2018, 01:01 PM   #5
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Quote:
 Originally Posted by greg1313 You're assuming a standard arrangement of the coordinate axes.
Ahhh geezzzzz....yes, thanks Greg...

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