Question related to nine point centre

• prashant singh
Please show us what you have tried.If you know the proof then tell me directly or give me a good hint. How they got those trilenear coordinates.f

prashant singh

1. Prove that nine point centre is the mid point of orthocentre and circumcentre.

Homework Equations

3. I know about euler line and its proof that centeroid,circumcentre and orthocentre are collinear and centeroid divides orthocentre and circumcentre in the ratio 2:1

I know the requirement is awkward for proofs, but on these homework forums you are supposed to show some attempt. Do you have any thoughts at all on the matter?
You could also try following some of the referenced links from the Wikipedia article.

I know the requirement is awkward for proofs, but on these homework forums you are supposed to show some attempt. Do you have any thoughts at all on the matter?
You could also try following some of the referenced links from the Wikipedia article.
I know the requirement is awkward for proofs, but on these homework forums you are supposed to show some attempt. Do you have any thoughts at all on the matter?
You could also try following some of the referenced links from the Wikipedia article.
I don't have any attempts , I don't know how to start but I know euler line and I have tried to link them but I didn't get the answer. Do you have hints.

Yes I read the whole article but there was no proof.
I didn't post the article because I thought it had a proof. I posted it because I thought it might help you do your proof. Part of that article gives the coordinates of the nine-point center. If you can get the coordinates of the other points you're concerned with, you're pretty much done.

Please show us what you have tried.

If you know the proof then tell me directly or give me a good hint. How they got those trilenear coordinates. I am not getting it

If you know the proof then tell me directly
That's not how it works here. From the rules (https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/):