My Math Forum Totally confusing:coordinate geometry
 User Name Remember Me? Password

 Geometry Geometry Math Forum

 September 1st, 2018, 02:46 PM #1 Member   Joined: Aug 2018 From: Nigeria Posts: 73 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: 2,404
Thanks: 1306

Quote:
 Originally Posted by Harmeed 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.
\begin{align*} &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: 20,472 Thanks: 2039 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. Thanks from topsquark

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post whsvin Geometry 0 February 1st, 2017 07:07 AM saha Geometry 10 December 4th, 2014 02:52 AM rayman Abstract Algebra 4 March 11th, 2014 07:11 AM mikeportnoy Geometry 4 December 2nd, 2009 12:58 AM cursed_mask Geometry 0 July 22nd, 2008 11:52 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top