Final Project

part 2

Additional Write-up from Assignment 4 #18

By

B.J Kim


 

4-18

Prove that for any triangle , H, G, C are collinear, and prove that HG= 2GC

 

Given any triangle, we can construct G, O, and H.

Centroid (G) : the intersection of the three medians.

Circumcenter (O) : This point is equidistance from the three vertics ,which formed by perpendicular bisectors of each side of triangle.

Orthocenter(H) : the intersection of the three altitudes of each side of triangle.

 

Proof

 

 

Check for GSP