1. M is the midpoint of Line AB and N is the midpoint of line AC, and T is the intersection of line BN and line CM, as shown. If, line BN is perpendicular to line AC, BN=12 and AC=14, then find CT.
2. As shown in the diagram Line AD, Line BE and Line CF are concurrent. We know that CD=CE=BF=4 and BD=AF=6. What is AE?
3.
In Triangle ABC, the acute angles are Angle B=60 degrees and Angle C=30 degrees. The centroid of Triangle ABC is G. If AB=1 what is AG?
4.
In the diagram, G is the centroid of Triangle ABC. If the area of ABC=72 then what is the area of GME?
