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Geometry Problem 966: Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Collinear Points. Level: School, College, Mathematics Education

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The figure shows a triangle ABC with the cevians AD and CE and the circumcircle O. F, G, and H are the midpoints of DE, AD, and CE, respectively, Circumcircle M of triangle FGH is tangent to DE at F. Prove that F, O, and M are collinear points.
 

Geometry Problem 966: Triangle, Cevians, Midpoint, Circumcircle, Circle, Tangent Line, Collinear Points

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 961-970 | Triangles | Midpoints | Circle | Circumcircle | Circle Tangent Line | Collinear Points | by Antonio Gutierrez

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