Math Is Fun Forum

mathattack

Member

Registered: 2016-03-07

Posts: 17

Vector Geometry Proof

Hello! 

I've been working out the following question with vectors, but am having a little bit of problems with two things:

1. deriving the position vector of the various centroids
2. deriving the line through the centroid perpendicular to the other side.

Any help would be great!

Pentagon ABCDE is inscribed in a circle. For any edge of ABCDE, we can draw the line perpendicular to that edge that contains the centroid of the remaining three vertices. Show that these 5 lines are concurrent.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Vector Geometry Proof

Done!

Last edited by thickhead (2016-09-28 23:40:05)

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Vector Geometry Proof

Hi Mathattack,
Is it O.K.?

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

mathattack

Member

Registered: 2016-03-07

Posts: 17

Re: Vector Geometry Proof

Hi Thickhead,

Sorry for the slow response.  Your response was awesome and super helpful!  Thank you so much