x Turn on thread page Beta
 You are Here: Home >< Maths

# M2 watch

1. How do I prove that the centroid is at the position of the mean of the vertices of a triangle?

Posted from TSR Mobile
2. (Original post by anoymous1111)
How do I prove that the centroid is at the position of the mean of the vertices of a triangle?

Posted from TSR Mobile
I guess by centroid you mean "centre of mass", as opposed to its meaning of "intersection of the medians of a triangle"

1. It's easy to show that the centre of mass must lie on the medians of the triangle, so convince yourself of this first.

2. Find vector equations describing the medians of the triangle, then show that they a) intersect at a common point and b) this common point lies 2/3 of the way from the vertices along the medians.
3. The proof is done in the M3 book by calculus. I don't think you'll be expected to know the proof for M2.
4. (Original post by aymanzayedmannan)
The proof is done in the M3 book by calculus. I don't think you'll be expected to know the proof for M2.
Oh ok that's good then! Thank you!

Posted from TSR Mobile

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 10, 2015
Today on TSR

### How much will your degree earn you?

Find out where yours ranks...

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams