Consider two triangles Δ𝐴𝐵𝐶 and Δ𝐴𝐵𝐷 that have common side 𝐴𝐵, 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 𝐶𝐷? You may conveniently choose coordinates for A,B,C,D, so long as Δ𝐴𝐵𝐶 and Δ𝐴𝐵𝐷 are not similar nor congruent.
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.
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.
Here is a good site to give you the basic definitions.