anonymous
  • anonymous
Can someone list all the important points inside a triangle (and briefly describe what they are) which are found using the perpendiculars at midpoint of sides etc. e.g. centroid
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
centroid-----intersection of medians incenter----- intersection of internal angle bisectors circumcenter ---intersection of perpendicular bisectors of sides
anonymous
  • anonymous
is that all? I thought there were more
anonymous
  • anonymous
and there is one more...orthocenter---intersection of altitudes

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anonymous
  • anonymous
OK. do you know how to prove these are are collinear? (e.g. using coordinate geom)
anonymous
  • anonymous
yes...you can prove
anonymous
  • anonymous
can you help? Please :D
anonymous
  • anonymous
|dw:1347448272061:dw|
anonymous
  • anonymous
prove centroid, orthocenter and circumcenter are collinear
anonymous
  • anonymous
i have taken the coordinate of A=(1,0) for simplicity
anonymous
  • anonymous
Yep
anonymous
  • anonymous
now find the centroid...
anonymous
  • anonymous
u know to find the centroid if coordinate of vertices of a triangle are given...
anonymous
  • anonymous
not really
anonymous
  • anonymous
http://mathforum.org/library/drmath/view/57665.html
anonymous
  • anonymous
http://www.vitutor.com/geometry/plane/orthocenter.html
anonymous
  • anonymous
Don't worry found it in my text book. Thanks anyway
anonymous
  • anonymous
http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre
anonymous
  • anonymous
open this one...you'll get...how to calculate centroid, inceter...
anonymous
  • anonymous
http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre this is useful one.
anonymous
  • anonymous
I'm getting an error opening that one. If its really useful, would you be so kind to save it as a pdf and attach it
anonymous
  • anonymous
@akash123

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