Geometry, Theorems and Problems

 Problem 237. Quadrilateral, Midpoints, Exterior line, Perpendicular lines

The figure shows a quadrilateral ABCD, E, F, G, and H are the midpoints of the sides, lines EG and FH meet at M. If a, b, c, d and m are the perpendiculars drawn from A, B, C, D, and M to an exterior line A'D', respectively, prove that:
4m = a + b + c + d. View or post a solution.
  

Quadrilateral, Midpoints, Perpendicular lines

 

 

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