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- tz
- 2005-12-04 12:09:27
OD = 1/2OB + 1/2OC
Let CF be the other median.
Prove that AD and BE's intersection, G divides AD in the ratio of 2:1.
Proof:
OD = 1/2OB + 1/2OC
OF = 1/2OA + 1/2OB
OD - OF = 1/2OC - 1/2OA
OD + 1/2OA = OF + 1/2OC
2OD + OA = 2OD + OC
2/3OD + 1/3OA = 2/3OF + 1/3OC
OG = OG
- kevi555
- 2005-11-30 15:10:50
Hi...
For this question you have to prove it by using vector methods.
Q: Prove that medians AD and BE of triangle ABC intersect at a point that divides each median in the ratio 2:1.
Any help would be greatly appreciated.
Thanks