Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    • Thread Starter
    Offline

    2
    ReputationRep:
    How do I prove that the centroid is at the position of the mean of the vertices of a triangle?


    Posted from TSR Mobile
    Offline

    11
    ReputationRep:
    (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.
    Offline

    3
    ReputationRep:
    The proof is done in the M3 book by calculus. I don't think you'll be expected to know the proof for M2.
    • Thread Starter
    Offline

    2
    ReputationRep:
    (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
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: November 10, 2015
Poll
Do you agree with the proposed ban on plastic straws and cotton buds?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.