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Three Subtriangles of a Triangle


	A cevian is a line drawn from a vertex of a triangle to the opposite side. Let ABC be a triangle. Let BB' and CC' be cevians. Let M and N be the midpoints of BB' and CC' respectively. Let R and S be the points of intersection of AM and AN with C'B'. Then .


	Contributed by: Jay Warendorff After work by: Antonio Gutierrez

The statement of the theorem is in Problem 89. Triangle area, Midpoints.

Cevian (Wolfram MathWorld)

Midpoint (Wolfram MathWorld)

"Three Subtriangles of a Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ThreeSubtrianglesOfATriangle/

Contributed by: Jay Warendorff

After work by: Antonio Gutierrez

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