Here's the question you clicked on:
apple_pi
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
centroid-----intersection of medians incenter----- intersection of internal angle bisectors circumcenter ---intersection of perpendicular bisectors of sides
is that all? I thought there were more
and there is one more...orthocenter---intersection of altitudes
OK. do you know how to prove these are are collinear? (e.g. using coordinate geom)
can you help? Please :D
prove centroid, orthocenter and circumcenter are collinear
i have taken the coordinate of A=(1,0) for simplicity
now find the centroid...
u know to find the centroid if coordinate of vertices of a triangle are given...
Don't worry found it in my text book. Thanks anyway
http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre
open this one...you'll get...how to calculate centroid, inceter...
http://www.askiitians.com/iit_jee-Straight_Line/Centroid_Incentre_and_Circum_Centre this is useful one.
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