1. Geometry 6.1 Medians

2. Medians
A Median is a segment that joins a vertex of the triangle with the midpoint of the opposite side.

3. Medians

4. Medians A
If AM is a median and CM=7x-1 and MB=6x+9 find x. c m B

5. How many medians does a triangle have?3 2
This point is called the centroid 1

6. Theorem 6.1 The centroid cuts the median into two parts...
the one from the vertex to the centroid is twice as long as from the centroid to the side.

7. Thrm 6.1 2x y z 2z 2y x

8. AE, BF, and CG If CG = 12, find GH Are medians of Triangle ABC
If BH = 10, find BF
If Eh = 3, find AE G E
If BG = 7, find AB H C F A