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The Midpoints of Two Cevians
A cevian is a line drawn from a vertex of a triangle to the opposite side.
Let ABC be a triangle and let M and N be the midpoints of the cevians BB' and CC'. Then the area of the quadrilateral BC'B'C is 4 times the area of AMN.



The statement of the theorem is in Problem 90. Quadrilateral and Triangle Areas, Midpoints.


"The Midpoints of Two Cevians" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheMidpointsOfTwoCevians/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
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