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September 1st, 2018, 02:46 PM  #1 
Member Joined: Aug 2018 From: Nigeria Posts: 43 Thanks: 2  Totally confusing:coordinate geometry
Since I saw this question, I'm totally confused, but I know it is my inability to think deeply. I need help once again. I need full solution please... Need to wake up in the middle of the night and post to forum... Help me!!!! The points D(2,1), E(1,5) and F(6,1) are the midpoints of the sides AC, AB and BC respectively of triangle ABC. Find the coordinates of ABC. Last edited by skipjack; September 1st, 2018 at 05:18 PM. 
September 1st, 2018, 03:00 PM  #2  
Senior Member Joined: Sep 2015 From: USA Posts: 2,120 Thanks: 1101  Quote:
&A+C = 2D = (4,2) \\ \\ &A+B = 2E = (2,10) \\ \\ &B+C = 2F = (12,2) \end{align*}$ and solve for $A,~B,~C$ Last edited by skipjack; September 1st, 2018 at 05:18 PM.  
September 1st, 2018, 05:26 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,700 Thanks: 1804 
A = (A + C)/2 + (A + B)/2  (B + C)/2 = D + E  F = D(2,1) + E(1,5)  F(6,1) = (9, 7), etc.


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