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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.


	Contributed by: Jay Warendorff After work by: Antonio Gutierrez

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

Cevian (Wolfram MathWorld)

Midpoint (Wolfram MathWorld)

"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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