# 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

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