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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Specialist Mathematics => Topic started by: NE2000 on October 29, 2009, 01:38:41 pm

Title: Vector proofs - medians of a triangle are concurrent
Post by: NE2000 on October 29, 2009, 01:38:41 pm

How would you go about this efficiently? There's a thread where a very long solution was posted up (and I can't see it for some reason) but I was hoping for something simpler

The way I was looking at it was triangle OAB and let M be intersection of two medians and N be intersection of two other medians and then prove that OM = ON (vectors; didn't draw the arrows) but I just can't see the solution.

The reason I ask is its on the study design as an example of a vector proof

Title: Re: Vector proofs - medians of a triangle are concurrent
Post by: /0 on October 29, 2009, 02:31:01 pm

There is a vector proof of it in Chapter 2.5 of Essentials