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April 28, 2024, 08:22:13 am

Author Topic: Vector proofs - medians of a triangle are concurrent  (Read 1695 times)  Share 

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NE2000

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Vector proofs - medians of a triangle are concurrent
« on: October 29, 2009, 01:38:41 pm »
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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
2009: English, Specialist Math, Mathematical Methods, Chemistry, Physics

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Re: Vector proofs - medians of a triangle are concurrent
« Reply #1 on: October 29, 2009, 02:31:01 pm »
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There is a vector proof of it in Chapter 2.5 of Essentials