Posted by **Jat** on Sunday, February 12, 2012 at 1:36am.

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q

Prove that B, G and E are collinear. prove the same results for point C, G and F

- Advanced Maths (Vectors) AQA Level -
**Reiny**, Sunday, February 12, 2012 at 9:15am
Something is not right here, ....

If D is the midpoint of BC , then AD is clearly a median

you then say, G is the midpoint of AD such that

AG:GD = 2:1

From the 2:1 ratio we know that G must be the centroid, which of course cannot be the midpoint.

## Answer This Question

## Related Questions

- Advanced Maths (Vectors) AQA Level - Triangle ABC with D, E and F the midpoints ...
- Advanced Maths (Vectors) AQA Level, please help? - An object is moving in a ...
- Advanced Maths (Vectors) AQA Level, please help? - An aircraft have a speed in ...
- Advanced Maths (Vectors) AQA Level, please help? - Two ships, A and B st out ...
- Advanced Maths (Vectors) AQA Level, please help - An aircraft is traveling ...
- Maths - Vectors - The position vectors a,b,c of the points A,B,C relative to the...
- Maths-Vectors Help! - Please can you help me as I have just been introduced to ...
- Maths - In a triangle ABC, D is the midpoint of BC and E is the midpoint of AD...
- Geometry - Given: X, Y, and Z are the midpoints of teh sides of triangle ABC. ...
- math - given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q ...

More Related Questions