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  1. Similar Triangles
  2. areas
  3. pythagoreanTheorem
  4. circles
  5. quadrilaterals
  6. threeDimensionalGeometry
  7. trigonometry
  8. conic
  9. miscellaneous
  10. exercises solutions
Theorem 6
For a triangle $ABC$, let $AD, BE, CF$ be the medians, and $G$ is the centroid, then $AG=2DG=\frac23AD$.
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