Consider two triangles Ξπ΄π΅πΆ and Ξπ΄π΅π· that have common side π΄π΅, and the circumcentre, orthocentre and centroid of both triangles. Draw a line connecting the circumcentres, a line connecting the orthocentres and a line connecting the centroids. Which of these lines are parallel to πΆπ·? You may conveniently choose coordinates for A,B,C,D, so long as Ξπ΄π΅πΆ and Ξπ΄π΅π· are not similar nor congruent.
+118608 Why can't you do it?
I'd have to look up those three centres, I always forget them but they are easy enough to find. For me but also for you!
I'm not so good with doing the diagrams, if I have the graph infront of me I can follow up from there!
if you've got any hints please share them, thank you.
+118608 If you have the pic in front of you then the question is probably done.
I'd draw one of the triangles and find the 3 centres, then I'd probably start on the other triangle.
But I have not done it so maybe I would have to change my mind,
Have you made any start at all?
Do you even know what those three centres are?
Do not answer with just 'yes'
I am asking you to interact with me properly.
No I don't know, I've been looking to get some explanation on YouTube and the net on how to start but couldn't find anything helpful.
