Special Properties of the Centroid
1) Using what you know about medians, construct the centroid in the triangle below.
2) Find the length of the segment from point A to the centroid.
3) Now find the length of the segment from the centroid to the midpoint of the side OPPOSITE of A.
What do you notice?
4) Repeat this process for the other 2 medians.
Based on your observations above, what is the ratio of the long piece of the median to the short piece?
Given: Triangle ABC has Centroid labeled G. D is the midpoint of BC, E is the midpoint of AC and F is the midpoint of AB.
If the length of median AD is 12 units long, how long is AG?